Release Time:2022-09-19  Hits:

Date of Publication: 2006-01-01

Journal: 计算力学学报

Institution: 运载工程与力学学部

Issue: 1

Page Number: 19-23

ISSN: 1007-4708

Abstract: Constitutive non-linearity and discontinuity are dominant difficulties in solving elastic bi-modular problems either analytically or numerically. In this paper, maximum/minimum functions are utilized to describe the non-linear relationship of stress and strain, and smoothly approximated by a set of entropy principle based smoothing functions. The smoothed constitutive equation is combined with an initial stress scheme to set up a FEM based numerical model that may lead to a higher computing efficiency since the stiffness matrix needs to be triangulated one time only in the whole computing process, and can avoid the inconvenience induced by choosing shear modulus. 8-node iso-parametric finite element is adopted in the computing. A number of numerical examples are presented to verify the proposed algorithm, and compared satisfactorily with other solutions. Additionally, A bi-modular thermal stress analysis is given.

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