Smooth DMS-FEM: A new approach to solving nearly incompressible nonlinear elasto-static problems

The DMS-FEM, which enables functional approximations with C(1) or still higher inter-element continuity within an FEM-based meshing of the domain, has recently been proposed by Sunilkumar and Roy [39,40]. Through numerical explorations on linear elasto-static problems, the method was found to have conspicuously superior convergence characteristics as well as higher numerical stability against locking. These observations motivate the present study, which aims at extending and exploring the DMS-FEM to (geometrically) nonlinear elasto-static problems of interest in solid mechanics and assessing its numerical performance vis-a-vis the FEM. In particular, the DMS-FEM is shown to vastly outperform the FEM (presently implemented through the commercial software ANSYS (R)) as the former requires fewer linearization and load steps to achieve convergence. In addition, in the context of nearly incompressible nonlinear systems prone to volumetric locking and with no special numerical artefacts (e.g. stabilized or mixed weak forms) employed to arrest locking, the DMS-FEM is shown to approach the incompressibility limit much more closely and with significantly fewer iterations than the FEM. The numerical findings are suggestive of the important role that higher order (uniform) continuity of the approximated field variables play in overcoming volumetric locking and the great promise that the method holds for a range of other numerically ill-conditioned problems of interest in computational structural mechanics. (C) 2011 Elsevier Ltd. All rights reserved.

Wrinkled and slack membranes: nonlinear 3D elasticity solutions via smooth DMS-FEM and experiment

The smooth DMS-FEM, recently proposed by the authors, is extended and applied to the geometrically nonlinear and ill-posed problem of a deformed and wrinkled/slack membrane. A key feature of this work is that three-dimensional nonlinear elasticity equations corresponding to linear momentum balance, without any dimensional reduction and the associated approximations, directly serve as the membrane governing equations. Domain discretization is performed with triangular prism elements and the higher order (C1 or more) interelement continuity of the shape functions ensures that the errors arising from possible jumps in the first derivatives of the conventional C0 shape functions do not propagate because the ill-conditioned tangent stiffness matrices are iteratively inverted. The present scheme employs no regularization and exhibits little sensitivity to h-refinement. Although the numerically computed deformed membrane profiles do show some sensitivity to initial imperfections (nonplanarity) in the membrane profile needed to initiate transverse deformations, the overall patterns of the wrinkles and the deformed shapes appear to be less so. Finally, the deformed profiles, computed through the DMS FEM-based weak formulation, are compared with those obtained through an experiment on an ultrathin Kapton membrane, wherein wrinkles form because of the applied boundary displacement conditions. Comparisons with a reported experiment on a rectangular membrane are also provided. These exercises lend credence to the feasibility of the DMS FEM-based numerical route to computing post-wrinkled membrane shapes. Copyright (c) 2012 John Wiley & Sons, Ltd.

An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order

This paper presents a singular edge-based smoothed finite element method (sES-FEM) for mechanics problems with singular stress fields of arbitrary order. The sES-FEM uses a basic mesh of three-noded linear triangular (T3) elements and a special layer of five-noded singular triangular elements (sT5) connected to the singular-point of the stress field. The sT5 element has an additional node on each of the two edges connected to the singular-point. It allows us to represent simple and efficient enrichment with desired terms for the displacement field near the singular-point with the satisfaction of partition-of-unity property. The stiffness matrix of the discretized system is then obtained using the assumed displacement values (not the derivatives) over smoothing domains associated with the edges of elements. An adaptive procedure for the sES-FEM is proposed to enhance the quality of the solution with minimized number of nodes. Several numerical examples are provided to validate the reliability of the present sES-FEM method. (C) 2012 Elsevier B.V. All rights reserved.

FEM Simulations and Optimization about Residual Stresses in Coating Structures with Functionally Graded Materials Layer

An elasto-plastic finite element method is developed to predict the residual stresses of thermal spraying coatings with functionally graded material layer. In numerical simulations, temperature sensitivity of various material constants is included and mix

Producción y calidad de la semilla de frijol común (Phaseolus vulgaris L.) producida artesanalmente en la Comarca de Pío XII, Masatepe

En el ciclo de postrera del año 1992 fueron sembradas ocho parcelas para producción de semilla de cuatro lotes propiedad de igual número de pequeños productores de la comarca Pio XII, Masatepe. Cuatro parcelas fueron sometidas al manejo tradicional de los productores participantes (Manejo I), y las otras cuatro sometidas a un manejo diferente con el fin de producir semillas de calidad (Manejo II). A los lotes de semillas obtenidos se les hizo Prueba Analítica, Prueba de Humedad, Determinación de Daño Mecánico, Peso de 1000 Semillas, Pruebas de Germinación, Vigor y Materia Seca de Plántulas y, Pruebas de Sanidad. Ambos manejos fueron comparados mediante los resultados de estas pruebas, los que indicaron que la semilla de frijol producidad por los productores participantes fue de menor calidad que la producida bajo el Manejo II; en el primer caso, los porcentajes de Daños Mecánico y de infección por hongos fueron mayores. Los porcentajes de germinación y vigo resultaron menores en el mismo caso. En el Manejo II resultó superior el peso de las semillas respecto al contenido de materia seca de las plántulas, los lotes A y C del manejo II resultaron con valores menores. Mediante la Prueba de Humedad se encontró que la semilla manejada por los productores posee alto contenido de agua al momento de almacenarla, lo que hace que ésta se deteriore más fácilmente. Con los resultados obtenidos en el presente trabajo se puede decir que es posible producir semilla de calidad por parte de los pequeños productores y, dado el interés mostrado por éstos, se recomiendad dar continuidad a este tipo de trabajos.

Adaptive Mesh Refinement FEM for Damage Evolution of Heterogeneous Brittle Media

Damage evolution of heterogeneous brittle media involves a wide range of length scales. The coupling between these length scales underlies the mechanism of damage evolution and rupture. However, few of previous numerical algorithms consider the effects of the trans-scale coupling effectively. In this paper, an adaptive mesh refinement FEM algorithm is developed to simulate this trans-scale coupling. The adaptive serendipity element is implemented in this algorithm, and several special discontinuous base functions are created to avoid the incompatible displacement between the elements. Both the benchmark and a typical numerical example under quasi-static loading are given to justify the effectiveness of this model. The numerical results reproduce a series of characteristics of damage and rupture in heterogeneous brittle media.

Characterising Of Internal Stresses In Duplex Coating By Fem

The internal stresses in a duplex coating involving a prequenched layer are believed to change if it is exposed to thermal loading. To characterise the internal stresses in such a duplex coating, a gradient model of finite element method is set up. The initial stress within the substrate developed in as quenching and the internal stresses due to the tempering of the prequenched layer ( TPQL) in such a duplex coating are calculated. The synthetical internal stresses in coating can be estimated by superposing uniform initial stresses developed during plating. The results indicate that the residual tensile stresses due to fabrication in coating will be decreased greatly, or even synthetical compressive internal stresses may arise in the coating.

Dynamic analysis of arrest of buckle propagation on a beam on a nonlinear elastic foundation by FEM

Based on the dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration technique. A new conclusion completely different from that by the quasi-static analysis about the buckle arrestor design is drawn. This shows that the inertia of the beam cannot be ignored in the analysis under consideration, especially when the buckle propagation is suddenly stopped by the arrestors.

A load simulation method of piezoelectric actuator in FEM for smart structures

More and more piezoelectric materials and structures have been used for structure control in aviation and aerospace industry. More efficient and convenient computation method for large complex structure with piezoelectric actuation devices is required. A load simulation method of piezoelectric actuation is presented in this paper. By this method, the freedom degree of finite element simulation is significantly reduced, the difficulty in defining in-plane voltage for multi-layers piezoelectric composite is overcome and the transfer computation between material main direction and the element main direction is simplified. The concept of simulation load is comprehensible and suitable for engineers of structure strength in shape and vibration control, thereby is valuable for promoting the application of piezoelectric material and structures in practical aviation and aerospace fields.

Cartas enviadas por Pío Baroja a Justo Garate entre 1931 y 1935

8 cartas (manuscritas) ; entre 320x210mm y 155x205mm y una tarjeta postal de 145x95mm

Occurrence of the Macrocyclops distinctus (Richard) (Copepoda, cyclopoidida) in Rybinsk reservoir. [Translation of: Materialy po biologii i gidrologii Volzhskikh Vodokhranilishch. Moscow, Leningrad 1963, pp. 13-16]

This brief chapter describes the occurrence Macrocyclops distinctus in the littoral zone of the Rybinsk Reservoir. Sampling was undertaken in summer and autumn 1961. In order to facilitate distinction of M. distinctus and Macrocyclops fuscus the author presents drawings of the whole species and certain characteristic parts of the body, and also gives a description of M. distinctus, comparing it with M. fuscus.

Observations on the behaviour of Polyphemus pediculus and functions of its extremities in the process of feeding. [Translation of: Materialy po biologii i gidrologii Volzhskikh vodokhranilishch, pp. 13-16. Moscow, 1965]

The author summarises observations on the behaviour of Polyphemus pediculus and functions of its extremities in the process of feeding. The crustacean Polyphemus pediculus seizes its prey, kills it and pulverises its food with the help of its extremities. Therefore for a study of its feeding method was necessary not only to have been acquainted in detail with the structure of its extremities, but also to have observed their interaction for the accomplishment of the stated functions.

Growth and reproduction of Moina rectirostris (Leydig) and Ceriodaphnia quadrangula (O. F. Muller) with feeding on detritus. [Translation from: Sbornik po prudovomu rybovodstvu, 79-89. Moscow, VNIRO, 1969.]

The significance of detritus in the nutrition of aquatic animals, especially of the small representatives of the zooplankton, has been studied very slightly. Research so far has established that in M. rectirostris with feeding on protococcal and single-celled green algae and bacteria the beginning of formation of eggs takes place in 2 - 4 days. The young appear in 4 - 6 days. In this study M. rectirostris and C. quadrangula are fed on detritus of natural origin in laboratory conditions. In order to determine the assimilability and productive: effect of detritus, the author set up experiments, permitting to characterize the rate of growth, speed of maturing and fertility of M. rectirostris and C. quadrangula with feeding of them on detritus of different composition and age.

Special carbon requirement of Spirulina platensis culture. [Translation from: Materialy VII Vsesoyuznogo Rabochego Soveshchanii po Voprosu Krugovorota Veshchestv v Zamknutoi Sisteme na Osnove Zhiznedeyatel'nosti Nizshikh Organizmov p55-57. Kiev, Naukova Dumka, 1972.]

By the industrial cultivation of blue-green algae, there very much appears the important question about their carbon nutrition. Spirulina grows within the range of pH value of medium of 8.5 - 11.0. In this range of pH value in the culture medium CO2 is present in the form of bicarbonate and carbonate, which serves as principal source of carbon for the present type of algae. There is little information yet about the influence of the pH of the medium, and the form of carbon components of the medium, on the rate-increase of Spirulina. Investigations were conducted into the influence of some pH values of medium on the rate-increase of the alga Spirulina platensis.

Photosynthesis of phytoplankton of the Klyaz'minsk reservoir. [Translation from: Trudy VI Soveshchaniya po Problemem Biologii Vnutrennikh Vod. Moscow, Izd. Akad. Nauk SSSR. pp. 273-287, 1955]

The processes of synthesis and destruction of organic matter play an important role in the ”self-cleaning” of reservoirs. The basic problem of this investigation consists of the role of phytoplankton in enriched waters of the Klyaz'minsk water reservoir through the solution of oxygen and its part in the ”self-cleaning” of the water reservoir. Observations on the interesting process of photosynthesis and the breakdown of organic matter was conducted by us on the eastern stretch of water in the Klyaz'minsk Reservoir during the growing periods of 1945 to 1948, by the widely applied bottle method (Vinberg 1934). This study reports mainly on the he vertical distribution of photosynthesis and respiration in plankton of the reservoir.