Open Access
The Finite Element Method in Structural and Continuum Mechanics
O. C. Zienkiewicz,Y.K. Cheung +1 more
TLDR
In this paper, a mathematical reference record was created on 2004-09-07, modified on 2016-08-08, and used for modelisation of mathematical reference records for the Mathematique Reference Record.Abstract:
Keywords: Modelisation ; Mathematique Reference Record created on 2004-09-07, modified on 2016-08-08read more
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Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
TL;DR: In this paper, a review of continuum-based variational formulations for describing the elastic-plastic deformation of anisotropic heterogeneous crystalline matter is presented and compared with experiments.
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The method of weighted residuals and variational principles
TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.
Journal ArticleDOI
Reduced integration technique in general analysis of plates and shells
TL;DR: In this article, a simple extension is made which allows the element to be economically used in all situations by reducing the order of numerical integration applied to certain terms without sacrificing convergence properties.
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Fractional calculus - A different approach to the analysis of viscoelastically damped structures
Ronald L. Bagley,Peter J. Torvik +1 more
TL;DR: In this paper, a fractional calculus is used to construct stress-strain relationships for viscoelastic materials and these relationships are used in the finite element analysis of damped structures and closed-form solutions to the equations of motion are found.