Size effects in the constrained deformation of metallic foams

The constrained deformation of an aluminium alloy foam sandwiched between steel substrates has been investigated. The sandwich plates are subjected to through-thickness shear and normal loading, and it is found that the face sheets constrain the foam against plastic deformation and result in a size effect: the yield strength increases with diminishing thickness of foam layer. The strain distribution across the foam core has been measured by a visual strain mapping technique, and a boundary layer of reduced straining was observed adjacent to the face sheets. The deformation response of the aluminium foam layer was modelled by the elastic-plastic finite element analysis of regular and irregular two dimensional honeycombs, bonded to rigid face sheets; in the simulations, the rotation of the boundary nodes of the cell-wall beam elements was set to zero to simulate full constraint from the rigid face sheets. It is found that the regular honeycomb under-estimates the size effect whereas the irregular honeycomb provides a faithful representation of both the observed size effect and the observed strain profile through the foam layer. Additionally, a compressible version of the Fleck-Hutchinson strain gradient theory was used to predict the size effect; by identifying the cell edge length as the relevant microstructural length scale the strain gradient model is able to reproduce the observed strain profiles across the layer and the thickness dependence of strength. © 2002 Elsevier Science Ltd. All rights reserved.

A New Deformation Theory with Strain Gradient Effects

A new phenomenological deformation theory with strain gradient effects is proposed. This theory, which belongs to nonlinear elasticity, fits within the framework of general couple stress theory and involves a single material length scale l. In the present theory three rotational degrees of freedom omega(i) are introduced in addition to the conventional three translational degrees of freedom u(i). omega(i) has no direct dependence upon ui and is called the micro-rotation, i.e. the material rotation theta(i) plus the particle relative rotation. The strain energy density is assumed to only be a function of the strain tensor and the overall curvature tensor, which results in symmetric Cauchy stresses. Minimum potential principle is developed for the strain gradient deformation theory version. In the limit of vanishing 1, it reduces to the conventional counterparts: J(2) deformation theory. Equilibrium equations, constitutive relations and boundary conditions are given in details. Comparisons between the present theory and the theory proposed by Shizawa and Zbib (Shizawa, K., Zbib, H.M., 1999. A thermodynamical theory gradient elastoplasticity with dislocation density Censor: fundamentals. Int. J. Plast. 15, 899) are given. With the same hardening law as Fleck et al. (Fleck, N.A., Muller, G.H., Ashby, M.F., Hutchinson, JW., 1994 Strain gradient plasticity: theory and experiment. Acta Metall. Mater 42, 475), the new strain gradient deformation theory is used to investigate two typical examples, i.e. thin metallic wire torsion and ultra-thin metallic beam bend. The results are compared with those given by Fleck et al, 1994 and Stolken and Evans (Stolken, J.S., Evans, A.G., 1998. A microbend test method for measuring the plasticity length scale. Acta Mater. 46, 5109). In addition, it is explained for a unit cell that the overall curvature tensor produced by the overall rotation vector is the work conjugate of the overall couple stress tensor. (C) 2002 Elsevier Science Ltd. All rights reserved.

Size Effect and Geometrical Effect of Solids in Micro-Indentation Test

Micro-indentation tests at scales of the order of sub-micron show that the measured hardness increases strongly with decreasing indent depth or indent size, which is frequently referred to as the size effect. At the same time, at micron or sub-micron scale, another effect, which is referred to as the geometrical size effects such as crystal grain size effect, thin film thickness effect, etc., also influences the measured material hardness. However, the trends are at odds with the size-independence implied by the conventional elastic-plastic theory. In the present research, the strain gradient plasticity theory (Fleck and Hutchinson) is used to model the composition effects (size effect and geometrical effect) for polycrystal material and metal thin film/ceramic substrate systems when materials undergo micro-indenting. The phenomena of the "pile-up" and "sink-in" appeared in the indentation test for the polycrystal materials are also discussed. Meanwhile, the micro-indentation experiments for the polycrystal Al and for the Ti/Si_3N_4 thin film/substrate system are carried out. By comparing the theoretical predictions with experimental measurements, the values and the variation trends of the micro-scale parameter included in the strain gradient plasticity theory are predicted.

Sapientia, 1999, Vol. LIV, nº 205 (número completo)

Contenido: La encíclica Fides et ratio de Juan Pablo II / La Dirección – Die Gegenwart del Themis bei Parmenides un der entzug der bestimmung im Heideggers Lichtung / Stefan Winter – El tiempo como medida de la primera esfera en la Física de Aristóteles / Marcelo L. Imperiale – St. Albert the Great and St. Thomas Aquinas on the presence of elements in compounds / Steven Baldner – Santo Tomás de Aquino, psicólogo / Ignacio Andereggen – Aquinas on creation and the metaphysical foundation of science / William E. Carroll – Las fuentes jurídicas romanas en Santo Tomás de Aquino / Alfredo Gustavo Di Pietro – La causalidad humana en la filosofía de la historia de Giambattista Vico / Juan Francisco Franck – Questions disputées de la politique chrétienne de Jacques Maritain / Yves Floucat – Die tektonik des submodernen Denkens im Schein ihrer Kunst / Heribert Boeder – El concepto de tolerancia / Alejandro G. Vigo – Modern science and time: an evaluation / Leo J. Elders – Tecnociencia y crisis ambiental / Héctor J. Padrón – The importante of order in theological discusión / Timothy L. Smith – La metafísica a pesar de Heidegger / Mario Enrique Sacchi – Notas y comentarios – Bibliografía

Prudentia Iuris, 1993, n° 31 (número completo)

Contenido: Notas de la redacción – El tratamiento de la constitucionalidad en el Perú : balance y perspectiva / Eloy Espinosa – El rol subsidiario de la acción de amparo / Néstor Pedro Sagüés – El certiorari before judgement o recurso per saltum en la Corte de los Estados Unidos / Alberto B. Bianchi – La trascendencia como causal de admisión del recurso extraordinario (art. 280 del CPCCN) / Sergio Dugo – El recurso extraordinario interpuesto in forma pauperis / Narciso J. Lugones – El habeas corpus contra limitaciones a la libertad impuesta por la justicia militar / Santiago Mario Sinopoli – El habeas corpus correctivo / Francisco J. D’Albora – El habeas corpus y las autoridades municipales / Néstor O. Losa – Algunas reflexiones sobre el Superior Tribunal de la Causa / Susana Lima – Las vías procesales potencialmente aptas para acceder a la decisión del Superior Tribunal Provincial / Roberto O. Berizonce – La acción de amparo y el contencioso administrativo en la provincia de Buenos Aires / Tomás Hutchinson – El derecho procesal constitucional, hoy : contenidos / Osvaldo Alfredo Gozaini – Derecho procesal transaccional / Eduardo Oteiza – Sección Ciencias Políticas: Los medios de comunicación de masas y la legitimidad de los gobernantes / Sebastián Mocorrea – Finalización del marxismo / F. Arias Pellerano – El libertador : ilustrado guerrero cristiano ¿republicano o monárquico? / Julio R. Lascano – Informe – Nota bibliográfica

Steady-state crack growth and fracture work based on the theory of mechanism-based strain gradient plasticity

Mode I steady-state crack growth is analyzed under plane strain conditions in small scale yielding. The elastic-plastic solid is characterized by the mechanism-based strain gradient (MSG) plasticity theory [J. Mech. Phys. Solids 47 (1999) 1239, J. Mech. Phys. Solids 48 (2000) 99]. The distributions of the normal separation stress and the effective stress along the plane ahead of the crack tip are computed using a special finite element method based on the steady-state fundamental relations and the MSG flow theory. The results show that during the steady-state crack growth, the normal separation stress on the plane ahead of the crack tip can achieve considerably high value within the MSG strain gradient sensitive zone. The results also show that the crack tip fields are insensitive to the cell size parameter in the MSG theory. Moreover, in the present research, the steady-state fracture toughness is computed by adopting the embedded process zone (EPZ) model. The results display that the steady-state fracture toughness strongly depends on the separation strength parameter of the EPZ model and the length scale parameter in the MSG theory. Furthermore, in order for the results of steady crack growth to be comparable, an approximate relation between the length scale parameters in the MSG theory and in the Fleck-Hutchinson strain gradient plasticity theory is obtained.

Toughness Of Ni/Al2O3 Interfaces As Dependent On Micron-Scale Plasticity And Atomistic-Scale Separation

Ceramic/metal interfaces were studied that fail by atomistic separation accompanied by plastic dissipation in the metal. The macroscopic toughness of the specific Ni alloy/Al2O3 interface considered is typically on the order of ten times the atomistic work of separation in mode I and even higher if combinations of mode I and mode II act on the interface. Inputs to the computational model of interface toughness are: (i) strain gradient plasticity applied to the Ni alloy with a length parameter determined by an indentation test, and (ii) a potential characterizing mixed mode separation of the interface fit to atomistic results. The roles of the several length parameters in the strain gradient plasticity are determined for indentation and crack growth. One of the parameters is shown to be of dominant importance, thus establishing that indentation can be used to measure the relevant length parameter. Recent results for separation of Ni/Al2O3 interfaces computed by atomistic methods are reviewed, including a set of results computed for mixed mode separation. An approximate potential fit to these results is characterized by the work of separation, the peak separation stress for normal separation and the traction-displacement relation in pure shearing of the interface. With these inputs, the model for steady-state crack growth is used to compute the toughness of the interface under mode I and under the full range of mode mix. The effect of interface strength and the work of separation on macroscopic toughness is computed. Fundamental implications for plasticity-enhanced toughness emerge.

Letras, 1986, nº 15-16 (número completo)

Contenido: Arribismo, ambición de poder y fraude en dos piezas del teatro político de José A. Saldías: “El distinguido ciudadano” y “El candidato del pueblo” / Susana Anaine – Entrevista a Roberto Juarroz / Cora Bassetti ; Katja Löhner – “La anunciacion a María” de Paul Claudel / Inés de Cassagne – Santa Teresa de Jesús en la novela de Ramón J. Sender / Elsa L. Di Santo – Orfeo: emblema del “combate por la poesía” / Jorge A. Dubatti – Los puntos de vista narrativos en “Jacob y el otro”, de Juan Carlos Onetti / María Luisa Fernández – La poesía de Federico García Lorca a la luz de su poética / Mariana Genoud de Fourcade – La leyenda del Barlaam y Josafat en “El libro de los estados” de Don Juan Manuel / Leonardo Ramón Funes – “El huerto de Melibea” de Jorge Guillén / Teresa Iris Giovacchini – “Quisiste ser maestro ante que disçiplo ser”: derecho y didactismo en el Libro de Buen Amor / Steven D. Kirby – Acción y drama en el “Volksstück” crítico (drama popular crítico) alemán del siglo XX / Régula Rohland de Langbehn – La enunciación como vacío en “Señas de identidad” / Daniel A. Link – Un tema del Al-Andalus en Borges / Dolly María Lucero Ontiveros – “Oda a Salvador Dalí” / Graciela S. Puente – El lenguaje como tema en la poesía argentina actual / Thorpe Running – “Medida por medida”, de W. Shakespeare: crisis y actualidad / Silvia Raquel Santana – Realismo y estilización en “La casa de Bernarda Alba”, de Federico García Lorca / Patricia Gladys Duarte – Reseñas bibliográficas

Sapientia, 2000, Vol. LV, nº 208 (número completo)

Contenido: Estructuras mentales y principios racionales / Lorenzo Vicente Burgoa – Autonomía moral y deliberación en Santo Tomás de Aquino / Ciro E. Schmidt Andrade – Thomas Aquinas and the reality of time / Steven C. Snyder – Fe y razón en Ramón Llull / Marc Egea I Ger – Idealismo y personalismo en Husserl / Francisco Leocata – El discurso no consensuado de Jürgen Habermas / Marisa Villalba de Tablón – Hacia el tercer milenio : el clima posmoderno y la recuperación de la naturaleza humana del hombre (observaciones tomistas) / William R. Darós – Razón, voluntad y praxis / María Celestina Donadío Maggi de Gandolfi – Meditación sobre la felicidad / Alberto Caturelli – “Y llegarán a ser virtuosos” : ley jurídica positiva penal y educación / Héctor H. Hernández – Todos los hombres desean la felicidad / Ignacio E. M. Andereggen – Justicia y derecho en Ley Natural y Derechos Naturales de John Finnis / Carlos I. Massini Correas – El itinerario antiguo y medieval de la negación nominalista de la metafísica / Mario Enrique Sacchi – Notas y comentarios -- Bibliografía

Estudio comparativo entre los métodos diagnósticos para mastitis subclínicas, California Test y DRAMINSKI 4Q en vacas Jersey, Diriamba – Carazo, Agosto –Octubre, 2015

El presente estudio se realizó con el objetivo de proporcionar una nueva herramienta de diagnóstico de mastitis subclínica bovina a nivel de campoy reducir las pérdidas económicas ocasionadas por la mastitis subclínica a los productores mediante el diagnóstico temprano, esto se pretende lograr mediante la comparación de dos métodos de diagnóstico como son California Mastitis Test y Detector de mastitis subclínica DRAMINSKI 4Q, el estudio se realizó en la finca “Santana” ubicada en el municipio de Diriamba, departamento de Carazo, ubicada en las coordenadas 11°49´59.9” latitud norte y de 86°14´21.1”longitud oeste con una altura aproximada a 580msnm, fueron utilizados 19 hembras las cuales estaban entre dos y tres lactancias, fueron muestreadas por cinco semanas consecutivas en el segundo ordeño, se utilizaron ambos métodos de diagnóstico iniciando por el DRAMINSKI debido a las indicaciones del equipo, se deben utilizar los primeros chorros de leche para obtener mejores resultados, posteriormente se utilizó la prueba california en las mismas vacas, de los cuartos que dieron positivo a uno o ambos métodos de diagnóstico se procedió a tomar la muestra de leche para llevarlo al laboratorio y de esta forma verificar el resultado mediante aislamiento e identificación bacteriana. Los datos fueron analizados mediante la realización de bases de datos Excel y mediante la utilización de la prueba de dependencia para CHI-CUADRADO, en los resultados se obtuvo que no hubo dependencia entre los métodos diagnósticos, pero las diferencias obtenidas no fueron significativas entre uno y otro. En el porcentaje de efectividad en los diagnósticos, para los resultados de DRAMINSKI se obtuvo un 97.38 % de efectividad en el diagnóstico correcto y un 2.62 % de diagnósticos incorrectos versus un 96.11 % de diagnósticos correctos y un 3.89 % de diagnósticos incorrectos que obtuvo la prueba California, los microorganismos aislados causantes de mastitis fueron Staphylococos aureus y Pseudomona aeruginosa.

理想塑性材料裂纹顶端附近的渐近解

<正> Hutchinson和Shih在讨论幂硬化材料裂纹顶端附近的渐近解时同时提出了理想塑性材料的应力分布(位移和应变是无法确定的)。本文指出,对于理想塑性材料来说,裂纹顶端附近的应力分布并非唯一的。下面讨论平面应变的情况,结果不难推广到其他情况。

在混合硬化材料中I型裂纹定常扩展时的尖端场

本文采用和的混合线性硬化材料塑性本构关系,求得了平面应变与平面应力状态下Ⅰ型定常扩展裂纹尖端附近场的渐近解。Amazigo和Hutchinson的结果相当于本文解当混合硬化参数β=1且略去二次塑性区的情况。本文的数值计算结果表明,混合硬化参数β对尖端场的应力应变分布有着显著的影响。

Crack deflection at an interface between dissimilar elastic-materials

A crack intersecting an interface between two dissimilar materials may advance by either penetrating through the interface or deflecting into the interface. The competition between deflection and penetration can be assessed by comparison of two ratios: (i) the ratio of the energy release rates for interface cracking and crack penetration; and (ii) the ratio of interface to material fracture energies. Residual stresses caused by thermal expansion misfit can influence the energy release rates of both the deflected and penetrating crack. This paper analyses the role of residual stresses. The results reveal that expansion misfit can be profoundly important in systems with planar interfaces (such as layered materials, thin film structures, etc.), but generally can be expected to be of little significance in fiber composites. This paper corrects an earlier result for the ratio of the energy release rate for the doubly deflected crack to that for the penetrating crack in the absence of residual stress.