Size Effect and Notch Size Effect in Metal Fatigue

It is a well known phenomenon that the constant amplitude fatigue limit of a large component is lower than the fatigue limit of a small specimen made of the same material. In notched components the opposite occurs: the fatigue limit defined as the maximum stress at the notch is higher than that achieved with smooth specimens. These two effects have been taken into account in most design handbooks with the help of experimental formulas or design curves. The basic idea of this study is that the size effect can mainly be explained by the statistical size effect. A component subjected to an alternating load can be assumed to form a sample of initiated cracks at the end of the crack initiation phase. The size of the sample depends on the size of the specimen in question. The main objective of this study is to develop a statistical model for the estimation of this kind of size effect. It was shown that the size of a sample of initiated cracks shall be based on the stressed surface area of the specimen. In case of varying stress distribution, an effective stress area must be calculated. It is based on the decreasing probability of equally sized initiated cracks at lower stress level. If the distribution function of the parent population of cracks is known, the distribution of the maximum crack size in a sample can be defined. This makes it possible to calculate an estimate of the largest expected crack in any sample size. The estimate of the fatigue limit can now be calculated with the help of the linear elastic fracture mechanics. In notched components another source of size effect has to be taken into account. If we think about two specimens which have similar shape, but the size is different, it can be seen that the stress gradient in the smaller specimen is steeper. If there is an initiated crack in both of them, the stress intensity factor at the crack in the larger specimen is higher. The second goal of this thesis is to create a calculation method for this factor which is called the geometric size effect. The proposed method for the calculation of the geometric size effect is also based on the use of the linear elastic fracture mechanics. It is possible to calculate an accurate value of the stress intensity factor in a non linear stress field using weight functions. The calculated stress intensity factor values at the initiated crack can be compared to the corresponding stress intensity factor due to constant stress. The notch size effect is calculated as the ratio of these stress intensity factors. The presented methods were tested against experimental results taken from three German doctoral works. Two candidates for the parent population of initiated cracks were found: the Weibull distribution and the log normal distribution. Both of them can be used successfully for the prediction of the statistical size effect for smooth specimens. In case of notched components the geometric size effect due to the stress gradient shall be combined with the statistical size effect. The proposed method gives good results as long as the notch in question is blunt enough. For very sharp notches, stress concentration factor about 5 or higher, the method does not give sufficient results. It was shown that the plastic portion of the strain becomes quite high at the root of this kind of notches. The use of the linear elastic fracture mechanics becomes therefore questionable.

Simulation of structural stress history based on dynamic analysis

Modern machine structures are often fabricated by welding. From a fatigue point of view, the structural details and especially, the welded details are the most prone to fatigue damage and failure. Design against fatigue requires information on the fatigue resistance of a structure’s critical details and the stress loads that act on each detail. Even though, dynamic simulation of flexible bodies is already current method for analyzing structures, obtaining the stress history of a structural detail during dynamic simulation is a challenging task; especially when the detail has a complex geometry. In particular, analyzing the stress history of every structural detail within a single finite element model can be overwhelming since the amount of nodal degrees of freedom needed in the model may require an impractical amount of computational effort. The purpose of computer simulation is to reduce amount of prototypes and speed up the product development process. Also, to take operator influence into account, real time models, i.e. simplified and computationally efficient models are required. This in turn, requires stress computation to be efficient if it will be performed during dynamic simulation. The research looks back at the theoretical background of multibody dynamic simulation and finite element method to find suitable parts to form a new approach for efficient stress calculation. This study proposes that, the problem of stress calculation during dynamic simulation can be greatly simplified by using a combination of floating frame of reference formulation with modal superposition and a sub-modeling approach. In practice, the proposed approach can be used to efficiently generate the relevant fatigue assessment stress history for a structural detail during or after dynamic simulation. In this work numerical examples are presented to demonstrate the proposed approach in practice. The results show that approach is applicable and can be used as proposed.

An Inspection System to Identify Fatigue Damage on Steel-Bridge Structures

Crack formation and growth in steel bridge structural elements may be due to loading oscillations. The welded elements are liable to internal discontinuities along welded joints and sensible to stress variations. The evaluation of the remaining life of a bridge is needed to make cost-effective decisions regarding inspection, repair, rehabilitation, and replacement. A steel beam model has been proposed to simulate crack openings due to cyclic loads. Two possible alternatives have been considered to model crack propagation, which the initial phase is based on the linear fracture mechanics. Then, the model is extended to take into account the elastoplastic fracture mechanic concepts. The natural frequency changes are directly related to moment of inertia variation and consequently to a reduction in the flexural stiffness of a steel beam. Thus, it is possible to adopt a nondestructive technique during steel bridge inspection to quantify the structure eigenvalue variation that will be used to localize the grown fracture. A damage detection algorithm is developed for the proposed model and the numerical results are compared with the solutions achieved by using another well know computer code.

Effect of loading type on the fatigue strength of symmetric and asymmetric welded joints made of ultra high strength steel

In this study, finite element analyses and experimental tests are carried out in order to investigate the effect of loading type and symmetry on the fatigue strength of three different non-load carrying welded joints. The current codes and recommendations do not give explicit instructions how to consider degree of bending in loading and the effect of symmetry in the fatigue assessment of welded joints. The fatigue assessment is done by using effective notch stress method and linear elastic fracture mechanics. Transverse attachment and cover plate joints are analyzed by using 2D plane strain element models in FEMAP/NxNastran and Franc2D software and longitudinal gusset case is analyzed by using solid element models in Abaqus and Abaqus/XFEM software. By means of the evaluated effective notch stress range and stress intensity factor range, the nominal fatigue strength is assessed. Experimental tests consist of the fatigue tests of transverse attachment joints with total amount of 12 specimens. In the tests, the effect of both loading type and symmetry on the fatigue strength is studied. Finite element analyses showed that the fatigue strength of asymmetric joint is higher in tensile loading and the fatigue strength of symmetric joint is higher in bending loading in terms of nominal and hot spot stress methods. Linear elastic fracture mechanics indicated that bending reduces stress intensity factors when the crack size is relatively large since the normal stress decreases at the crack tip due to the stress gradient. Under tensile loading, experimental tests corresponded with finite element analyzes. Still, the fatigue tested joints subjected to bending showed the bending increased the fatigue strength of non-load carrying welded joints and the fatigue test results did not fully agree with the fatigue assessment. According to the results, it can be concluded that in tensile loading, the symmetry of joint distinctly affects on the fatigue strength. The fatigue life assessment of bending loaded joints is challenging since it depends on whether the crack initiation or propagation is predominant.

Investigation of the fatigue performance of welded duplex stainless steel

Diplomityössä tutkitaan hitsatun duplex-teräksen, laatu: EN 1.4462 (Outokumpu laatu 2205) väsymislujuutta. Tutkimusmetodologia noudattaa sekä kokeellisia että laskennallisia menetelmiä. Kokeelliset menetelmät sisältävät hitsatun teräksen väsytystestaukset laboratoriossa, hitsausten jälkikäsittelyt (HiFIT) sekä perusaineelle ja hitseille tehtävät metallurgiset tutkimukset. Väsytyskokeista saatavia tuloksia verrataan kansainvälisen hitsausinstituutin (IIW) vahvistamiin rakennekohtaisiin standardeihin sekä kirjallisuudessa esiintyviin tutkimustuloksiin. Laskennalliset menetelmät sisältävät vertailulaskelmia tehollisen lovijännityksen (ENS) menetelmää hyödyntäen. Tehollisen lovijännityksen menetelmässä liitoksissa vaikuttavat teholliset lovijännitykset selvitetään elementtimenetelmän (FEM) avulla. Tulokset vahvistavat, että hitsauksella ja hitsausten jälkikäsittelyllä on suuri merkitys rakenteen kestoikään. Suurin osa väsytyskokeiden tuloksista osoitti parempia väsymiskestävyyden arvoja kuin rakennekohtaiset standardit, mutta liitosten liitosvirheiden todettiin heikentävän väsytyskestävyyttä. Jälkikäsittelyiden todettiin parantavan liitosten väsymiskestävyyden tuloksia ja todettiin tulosten olevan hyödynnettävissä mitoituksessa.

The effects of altered heat stress on voluntary pacing strategies during prolonged cycling

Central Governor Model (CGM) suggests that perturbations in the rate of heat storage (AS) are centrally integrated to regulate exercise intensity in a feed-forward fashion to prevent excessive thermal strain. We directly tested the CGM by manipulating ambient temperature (Tam) at 20-minute intervals from 20°C to 35°C, and returning to 20°C, while cycling at a set rate of perceived exertion (RPE). The synchronicity of power output (PO) with changes in HS and Tam were quantified using Auto-Regressive Integrated Moving Averages analysis. PO fluctuated irregularly but was not significantly correlated to changes in thermo physiological status. Repeated measures indicated no changes in lactate accumulation. In conclusion, real time dynamic sensation of Tam and integration of HS does not directly influence voluntary pacing strategies during sub-maximal cycling at a constant RPE while non-significant changes in blood lactate suggest an absence of peripheral fatigue.

The Influence of Cerebral Blood Flow and Carbon Dioxide on Neuromuscular Responses During Environmental Stress

Although reductions in cerebral blood flow (CBF) may be implicated in the development of central fatigue during environmental stress, the contribution from hypocapnia-induced reductions in CBF versus reductions in CBF per se has yet to be isolated. The current research program examined the influence of CBF, with and without consequent hypocapnia, on neuromuscular responses during hypoxia and passive heat stress. To this end, neuromuscular responses, as indicated by motor evoked potentials (MEP), maximal M-wave (Mmax) and cortical voluntary activation (cVA) of the flexor carpi radialis muscle during isometric wrist flexion, was assessed in three separate projects: 1) hypocapnia, independent of concomitant reductions in CBF; 2) altered CBF during severe hypoxia and; 3) thermal hyperpnea-mediated reductions in CBF, independent of hypocapnia. All projects employed a custom-built dynamic end-tidal forcing system to control end-tidal PCO2 (PETCO2), independent of the prevailing environmental conditions, and cyclooxygenase inhibition using indomethacin (Indomethacin, 1.2 mg·Kg-1) to selectively reduce CBF (estimated using transcranial Doppler ultrasound) without changes in PETCO2. A primary finding of the present research program is that the excitability of the corticospinal tract is inherently sensitive to changes in PaCO2, as demonstrated by a 12% increase in MEP amplitude in response to moderate hypocapnia. Conversely, CBF mediated reductions in cerebral O2 delivery appear to decrease corticospinal excitability, as indicated by a 51-64% and 4% decrease in MEP amplitude in response to hypoxia and passive heat stress, respectively. The collective evidence from this research program suggests that impaired voluntary activation is associated with reductions in CBF; however, it must be noted that changes in cVA were not linearly correlated with changes in CBF. Therefore, other factors independent of CBF, such as increased perception of effort, distress or discomfort, may have contributed to the reductions in cVA. Despite the functional association between reductions in CBF and hypocapnia, both variables have distinct and independent influence on the neuromuscular system. Therefore, future studies should control or acknowledge the separate mechanistic influence of these two factors.

Rôle de l'estérification des acides gras dans la régulation de la sécrétion d'insuline et le stress métabolique induits par le glucose

Le diabète est une maladie chronique de l’homéostasie du glucose caractérisée par une hyperglycémie non contrôlée qui est le résultat d’une défaillance de la sécrétion d’insuline en combinaison ou non avec une altération de l’action de l’insuline. La surnutrition et le manque d’activité physique chez des individus qui ont des prédispositions génétiques donnent lieu à la résistance à l’insuline. Pendant cette période dite de compensation où la concentration d’acides gras plasmatiques est élevée, l’hyperinsulinémie compense pleinement pour la résistance à l’insuline des tissus cibles et la glycémie est normale. Le métabolisme du glucose par la cellule pancréatique bêta entraîne la sécrétion d’insuline. Selon le modèle classique de la sécrétion d’insuline induite par le glucose, l’augmentation du ratio ATP/ADP résultant de la glycolyse et de l’oxydation du glucose, induit la fermeture des canaux KATP-dépendant modifiant ainsi le potentiel membranaire suivi d’un influx de Ca2+. Cet influx de Ca2+ permet l’exocytose des granules de sécrétion contenant l’insuline. Plusieurs nutriments comme les acides gras sont capables de potentialiser la sécrétion d’insuline. Cependant, le modèle classique ne permet pas d’expliquer cette potentialisation de la sécrétion d’insuline par les acides gras. Pour expliquer l’effet potentialisateur des acides gras, notre laboratoire a proposé un modèle complémentaire où le malonyl-CoA dérivé du métabolisme anaplérotique du glucose inhibe la carnitine palmitoyltransférase-1, l’enzyme qui constitue l’étape limitante de l’oxydation des acides gras favorisant ainsi leur estérification et donc la formation de dérivés lipidiques signalétiques. Le modèle anaplérotique/lipidique de la sécrétion d'insuline induite par le glucose prédit que le malonyl-CoA dérivé du métabolisme du glucose inhibe la bêta-oxydation des acides gras et augmente la disponibilité des acyl-CoA ou des acides gras non-estérifiés. Les molécules lipidiques agissant comme facteurs de couplage du métabolisme des acides gras à l'exocytose d'insuline sont encore inconnus. Des travaux réalisés par notre laboratoire ont démontré qu’en augmentant la répartition des acides gras vers la bêta-oxydation, la sécrétion d’insuline induite par le glucose était réduite suggérant qu’un des dérivés de l’estérification des acides gras est important pour la potentialisation sur la sécrétion d’insuline. En effet, à des concentrations élevées de glucose, les acides gras peuvent être estérifiés d’abord en acide lysophosphatidique (LPA), en acide phosphatidique (PA) et en diacylglycérol (DAG) et subséquemment en triglycérides (TG). La présente étude a établi l’importance relative du processus d’estérification des acides gras dans la production de facteurs potentialisant la sécrétion d’insuline. Nous avions émis l’hypothèse que des molécules dérivées des processus d’estérification des acides gras (ex : l’acide lysophosphatidique (LPA) et le diacylglycerol (DAG)) agissent comme signaux métaboliques et sont responsables de la modulation de la sécrétion d’insuline en présence d’acides gras. Afin de vérifier celle-ci, nous avons modifié le niveau d’expression des enzymes clés contrôlant le processus d’estérification par des approches de biologie moléculaire afin de changer la répartition des acides gras dans la cellule bêta. L’expression des différents isoformes de la glycérol-3-phosphate acyltransférase (GPAT), qui catalyse la première étape d’estérification des acides gras a été augmenté et inhibé. Les effets de la modulation de l’expression des isoenzymes de GPAT sur les processus d’estérifications, sur la bêta-oxydation et sur la sécrétion d’insuline induite par le glucose ont été étudiés. Les différentes approches que nous avons utilisées ont changé les niveaux de DAG et de TG sans toutefois altérer la sécrétion d’insuline induite par le glucose. Ainsi, les résultats de cette étude n’ont pas associé de rôle pour l’estérification de novo des acides gras dans leur potentialisation de la sécrétion d’insuline. Cependant, l’estérification des acides gras fait partie intégrante d’un cycle de TG/acides gras avec sa contrepartie lipolytique. D’ailleurs, des études parallèles à la mienne menées par des collègues du laboratoire ont démontré un rôle pour la lipolyse et un cycle TG/acides gras dans la potentialisation de la sécrétion d’insuline par les acides gras. Parallèlement à nos études des mécanismes de la sécrétion d’insuline impliquant les acides gras, notre laboratoire s’intéresse aussi aux effets négatifs des acides gras sur la cellule bêta. La glucolipotoxicité, résultant d’une exposition chronique aux acides gras saturés en présence d’une concentration élevée de glucose, est d’un intérêt particulier vu la prépondérance de l’obésité. L’isoforme microsomal de GPAT a aussi utilisé comme outil moléculaire dans le contexte de la glucolipotoxicité afin d’étudier le rôle de la synthèse de novo de lipides complexes dans le contexte de décompensation où la fonction des cellules bêta diminue. La surexpression de l’isoforme microsomal de la GPAT, menant à l’augmentation de l’estérification des acides gras et à une diminution de la bêta-oxydation, nous permet de conclure que cette modification métabolique est instrumentale dans la glucolipotoxicité.

Impact of a neonatal parenteral nutrition on the hepatic activity of methionine adenosyltransferase, a limiting step for glutathione synthesis

Problématique : Le glutathion est une molécule clé de la défense antioxydante. Chez les enfants sous nutrition parentérale (NP), particulièrement les nouveau-nés, sa concentration tissulaire est anormalement basse. Puisque la capacité de synthèse de glutathion est adéquate, un déficit en cystéine, le substrat limitant, est soupçonnée. À cause de son instabilité en solution, la cystéine est peu présente en NP; la méthionine étant le précurseur endogène de cet acide aminé. L’activité de la méthionine adénosyltransférase (MAT), une enzyme essentielle à la transformation de la méthionine en cystéine, est facilement inhibée par l’oxydation. L’hypothèse : Le faible taux de glutathion chez les enfants sous NP est causé par l’inhibition de la MAT par les peroxydes contaminant ces solutions nutritives. Objectif: Mesurer l’impact d’une infusion de NP et de H2O2 sur l’activité hépatique de MAT en relation avec le niveau de glutathion. Méthode : Un cathéter est placé dans la jugulaire droite de cobayes de trois jours de vie. Quatre groupes sont comparés:1- Témoin (animaux aucune manipulation, sans cathéter) 2)-(animaux nourris normalement et le cathéter (noué)); 3) NP (animaux nourris exclusivement par voie intraveineuse (acides aminés + dextrose + lipides + vitamines + électrolytes), cette solution génère environ 400 µM de peroxyde. 4) H2O2 (animaux nourris normalement et recevant via le cathéter 400 µM de H2O2). Après quatre jours, le foie et le sang sont prélevés pour la détermination du glutathion, potentiel redox et l’activité de MAT, glutathion peroxydase et glutathion reductase. Résultats : L’activité de MAT est plus faible dans les groupes NP et H2O2. Le potentiel redox du foie et dans le sang est plus oxydé dans le groupe NP. Tandis que la concentration de GSSG du foie est plus élevée dans le groupe NP. Ainsi la concentration de GSH dans le sang et foie est plus faible dans les NP et H2O2 Discussion: La relation entre l’inhibition de MAT et le stress oxydant observée dans le groupe NP pourrait bien expliquer la perturbation du système glutathion observée chez les nouveau-nés prématurés.

TDP-43 régule la dynamique et la fonction des Granules de Stress via G3BP1

Les Granule de Stress (GS) sont des inclusions cytoplasmiques contenant des protéines et des ARNm qui s’assemblent en réponse à l’exposition à un stress. Leur formation fait partie intégrante de la réponse cellulaire au stress et est considérée comme une étape déterminante pour la résistance au stress et la survie cellulaire. Actuellement, les GS sont reliés à divers pathologies allant des infections virales aux maladies neurovégétatives. L’une d’entre elle, la Sclérose Latérale Amyotrophique (SLA) est particulièrement agressive, caractérisée par une perte des neurones moteurs aboutissant à la paralysie et à la mort du patient en cinq ans en moyenne. Les mécanismes de déclenchement de la pathologie restent encore à déterminer. TDP-43 (TAR DNA binding protein 43) et FUS (Fused in liposarcoma) sont deux protéines reliées à la pathologie qui présentent des similarités de structure et de fonction, suggérant un mécanisme commun de toxicité. TDP-43 et FUS sont toutes les deux recrutées au niveau des GS en condition de stress. Nous avons démontré pour la première fois que la fonction des GS est de protéger les ARNm de la dégradation induite par l’exposition au stress. Cette fonction n’était que suspectée jusqu’alors. De plus nous avons mis en évidence que G3BP1 (Ras GTPase-activating protein-binding protein 1) est l’effectrice de cette fonction via son implication dans la dynamique de formation des GS. TDP-43 étant un régulateur de G3BP1, nous prouvons ainsi que la perte de fonction de TDP-43/G3BP1 aboutit à un défaut de réponse au stress aboutissant à une vulnérabilisation cellulaire. Le mécanisme de toxicité emprunter par FUS diffère de celui de TDP-43 et ne semble pas passer par une perte de fonction dans le cadre de la réponse au stress.

Cuidar dos cuidadores : o (des)envolvimento da espiritualidade na prevenção de quadros de stress e burnout

A Humanidade anda cansada, esgotado. Um cansaço que é a soma do fardo de cada um e também parte do fardo de outros. E a Humanidade busca explicações para este cansaço. E quer aliviá-lo. E quer minimizá-lo. Mas busca muito mais que isso. Trata-se, enfim, de buscar não o remédio mas o sentido da própria existência, as respostas adedentro, ou seja, bem no interior do ser humano. O presente trabalho pretende ser uma reflexão – compreender para agir - sobre a busca da dimensão da espiritualidade como possível resposta na prevenção de quadros de stress e burnout. Quem trabalho na área da assistência e na relação de ajuda contínua com pessoas em situação de extrema fragilidade sabe que se não houver um cuidado na reposição de energias, com muita facilidade a pessoa chega a um estado de cansaço e a qualquer momento o turboadrenalina pode queimar. No âmbito da gestão de unidades sociais e bem-estar, cuidar dos cuidadores é a maior e mais nobre missão de qualquer Instituição. Pois, que serviços seriam vivenciados sem as pessoas que formam o corpo e, por isso, a vida de uma Instituição? O caminho da nossa reflexão é orientado para a Comunidade Vida e Paz, como espaço relacional que quer e procura ser um espaço de renovação de vidas – das pessoas sem abrigo – onde, amparadas por um conjunto de Cuidadores, cujo olhar se orienta num trabalho de unificação da pessoa, são imbuídos por uma espiritualidade que se quer colaborante na missão de dignificar cada pessoa e devolvê-la à sua condição original. A pessoa, cada pessoa, é a soma de si, da relação com outros e da relação com o transcendente. Na missão de cuidar, pode a espiritualidade ser ausente? Desta, retiramos um sentido coerente da existência, a verdade do dom e da dádiva e, por isso, uma vida feliz.

Free radicals, metals and antioxidants in oxidative stress-induced cancer

Oxygen-free radicals, more generally known as reactive oxygen species (ROS) along with reactive nitrogen species (RNS) are well recognised for playing a dual role as both deleterious and beneficial species. The "two-faced" character of ROS is substantiated by growing body of evidence that ROS within cells act as secondary messengers in intracellular signalling cascades, which induce and maintain the oncogenic phenotype of cancer cells, however, ROS can also induce cellular senescence and apoptosis and can therefore function as anti-tumourigenic species. The cumulative production of ROS/RNS through either endogenous or exogenous insults is termed oxidative stress and is common for many types of cancer cell that are linked with altered redox regulation of cellular signalling pathways. Oxidative stress induces a cellular redox imbalance which has been found to be present in various cancer cells compared with normal cells; the redox imbalance thus may be related to oncogenic stimulation. DNA mutation is a critical step in carcinogenesis and elevated levels of oxidative DNA lesions (8-OH-G) have been noted in various tumours, strongly implicating such damage in the etiology of cancer. It appears that the DNA damage is predominantly linked with the initiation process. This review examines the evidence for involvement of the oxidative stress in the carcinogenesis process. Attention is focused on structural, chemical and biochemical aspects of free radicals, the endogenous and exogenous sources of their generation, the metal (iron, copper, chromium, cobalt, vanadium, cadmium, arsenic, nickel)-mediated formation of free radicals (e.g. Fenton chemistry), the DNA damage (both mitochondrial and nuclear), the damage to lipids and proteins by free radicals, the phenomenon of oxidative stress, cancer and the redox environment of a cell, the mechanisms of carcinogenesis and the role of signalling cascades by ROS; in particular. ROS activation of AP-1 (activator protein) and NF-kappa B (nuclear factor kappa B) signal transduction pathways, which, in turn lead to the transcription of genes involved in cell growth regulatory pathways. The role of enzymatic (superoxide dismutase (Cu. Zn-SOD. Mn-SOD), catalase, glutathione peroxidase) and non-enzymatic antioxidants (Vitamin C, Vitamin E, carotenoids, thiol antioxidants (glutathione, thioredoxin and lipoic acid), flavonoids, selenium and others) in the process of careinogenesis as well as the antioxidant interactions with various regulatory factors, including Ref-1, NF-kappa B, AP-1 are also reviewed. 2006 Elsevier Ireland Ltd. All rights reserved.

Damage rate is a predictor of fatigue life and creep strain rate in fatigue of tensile human cortical bone samples

We present results on the growth of damage in 29 fatigue tests of human femoral cortical bone from four individuals, aged 53–79. In these tests we examine the interdependency of stress, cycles to failure, rate of creep strain, and rate of modulus loss. The behavior of creep rates has been reported recently for the same donors as an effect of stress and cycles (Cotton, J. R., Zioupos, P., Winwood, K., and Taylor, M., 2003, "Analysis of Creep Strain During Tensile Fatigue of Cortical Bone," J. Biomech. 36, pp. 943–949). In the present paper we first examine how the evolution of damage (drop in modulus per cycle) is associated with the stress level or the "normalized stress" level (stress divided by specimen modulus), and results show the rate of modulus loss fits better as a function of normalized stress. However, we find here that even better correlations can be established between either the cycles to failure or creep rates versus rates of damage than any of these three measures versus normalized stress. The data indicate that damage rates can be excellent predictors of fatigue life and creep strain rates in tensile fatigue of human cortical bone for use in practical problems and computer simulations.

Analysis of creep strain during tensile fatigue of cortical bone

During fatigue tests of cortical bone specimens, at the unload portion of the cycle (zero stress) non-zero strains occur and progressively accumulate as the test progresses. This non-zero strain is hypothesised to be mostly, if not entirely, describable as creep. This work examines the rate of accumulation of this strain and quantifies its stress dependency. A published relationship determined from creep tests of cortical bone (Journal of Biomechanics 21 (1988) 623) is combined with knowledge of the stress history during fatigue testing to derive an expression for the amount of creep strain in fatigue tests. Fatigue tests on 31 bone samples from four individuals showed strong correlations between creep strain rate and both stress and “normalised stress” (σ/E) during tensile fatigue testing (0–T). Combined results were good (r2=0.78) and differences between the various individuals, in particular, vanished when effects were examined against normalised stress values. Constants of the regression showed equivalence to constants derived in creep tests. The universality of the results, with respect to four different individuals of both sexes, shows great promise for use in computational models of fatigue in bone structures.

Structure and stress of Re(11%21); chiral terraces at a racemic surface

The surface structure and morphology of the clean Re(11%21) surface has been investigated through combined low energy electron diffraction intensity analysis of data taken at multiple angles of incidence, scanning tunneling microscopy, and first-principles density functional calculations. The results show how this globally racemic surface terminates in two chirally distinct terraces, which show largescale out-of-plane atomic relaxations and in-plane lateral movement of the uppermost atoms. We further identify and discuss the initial stages of step bunching upon adsorption of oxygen that leads ultimately to the large-scale faceting of the surface. Finally, we present calculations of surface stress and the response to applied surface strain, which suggest routes to the exertion of control over the expression of chirality at the surface.