On the automation of the analysis of non-one-dimensional problems of the nonlinear elasticity theory
UDC
539.3EDN
RTPRALAbstract
Within the framework of computer algebra system Maple an interactive program shell for analysis of nonlinear elastic problems has been developed. The set of algorithms of automatic generation of boundary-value problems of equilibrium, both in Cartesian as well as in othogonal curvilinear co-ordinate systems, was implemented. The integration of numerical tools embedded in the Maple system with resourses of the finite-element modeling environment FlexPDE was realized to perform the numerical analysis of nonlinear partial differential equations. Some model problems demonsrtating main abilities of the program shell to solve direct and inverse problems of nonlinear elasticity are presented.
Keywords:
nonlinear elasticity, finite elements method, computer algebra, direct and inverse problemsFunding information
Работа выполнена при поддержке Министерства образования и науки Российской Федерации (соглашение 14.А18.21.0389).
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Copyright (c) 2013 Жеребко А.И., Карякин М.И., Обрезков Л.П.
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