Elementary applications of MATHEMATICA to the solution of elasticity problems by the finite element method

DOI10.1016/0045-7825(93)90139-OzbMath0825.73680OpenAlexW2009984537MaRDI QIDQ1802832

Yanyan Li

Publication date: 29 June 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90139-o

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

A symbolic-numeric computation algorithm for the analysis of constrained distributed parameter systems ⋮ Object-oriented finite elements. I: Principles of symbolic derivations and automatic programming. II: A symbolic environment for automatic programming ⋮ Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulations. ⋮ Object-oriented finite elements. III: Theory and application of automatic programming

Uses Software

• Maple
• Mathematica
• FINGER

Cites Work

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• Application of symbolic algebra to the analysis of plates on variable elastic foundation
• FINGER: A symbolic system for automatic generation of numerical programs in finite element analysis
• Application of computer algebra to the iterative solution of singular integral equations
• Automatic generation of mapping functions for infinite elements using REDUCE
• Mixed isoparametric elements for Saint-Venant torsion
• Chebyshev approximations to stress intensity factors: An application of ‘DERIVE’
• Explicit expressions for element coordinate transformations by symbolic manipulation
• A computer program for automatic generation of stiffness and mass matrices in finite-element analysis
• Computerized symbolic manipulation in nonlinear finite element analysis
• Three dimensional singular element
• Semi-numerical iterative series solution of linear algebraic equations with ‘MATHEMATICA’
• Minimax approximation to stress intensity factors with mathematica
• Computerized symbolic manipulation in structural mechanics—Progress and potential
• Symbolic generation of finite element stiffness matrices
• The application of symbolic computing to the hierarchical finite element method