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Program Shell of Analysis of One-dimensional and Two-dimensional Problems of Nonlinear Elasticity Theory

Published: 16 January 2019 Publication History

Abstract

Within the framework of the computer algebra system Maple, an interactive program shell for analysis of nonlinear problems of elasticity has been developed. The set of algorithms of automatic generation of boundary-value problems of equilibrium, both in Cartesian as well as in orthogonal curvilinear coordinate systems, was implemented. The integration of numerical tools embedded in the Maple system with resources of the finite-element modeling environment FlexPDE was realized to perform the numerical analysis of nonlinear partial differential equations. Some model problems demonstrating the main abilities of the program shell to solve direct and inverse problems of nonlinear elasticity theory are presented. The developed system allows, in particular, solving the simplest inverse problems of selecting or determining one scalar characteristic (geometric, material or force parameter) of the system under consideration.

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ICCMS '19: Proceedings of the 11th International Conference on Computer Modeling and Simulation
January 2019
253 pages
ISBN:9781450366199
DOI:10.1145/3307363
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

In-Cooperation

  • University of Wollongong, Australia
  • College of Technology Management, National Tsing Hua University, Taiwan
  • Swinburne University of Technology
  • University of Technology Sydney

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 16 January 2019

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Author Tags

  1. finite element method
  2. inverse problems
  3. nonlinear elasticity

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  • Research-article
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  • Refereed limited

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ICCMS 2019
ICCMS 2019: The 11th International Conference on Computer Modeling and Simulation
January 16 - 19, 2019
QLD, North Rockhampton, Australia

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