A numerical procedure for a nonlinear elastic problem for incompressible material based on a perturbation method (Q1372808)
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scientific article; zbMATH DE number 1081960
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical procedure for a nonlinear elastic problem for incompressible material based on a perturbation method |
scientific article; zbMATH DE number 1081960 |
Statements
A numerical procedure for a nonlinear elastic problem for incompressible material based on a perturbation method (English)
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14 July 1998
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An approach for obtaining numerical solution of a nonlinear elastic problem for incompressible material is discussed. Finite element approximations for displacements and hydrostatic stresses (Lagrangian multiplier) are independent. A method of step-by-step loading is applied. A nonlinear problem is solved at each step. Newton-Raphson approximations are implemented together with perturbation method by carrying out a limited number of iterations. A special method for solving the set of linear algebraic equations with a large number of sparse constraints is described.
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force-displacement dependance
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Lagrangian multiplier
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displacements
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hydrostatic stresses
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step-by-step loading
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Newton-Raphson approximations
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large number of sparse constraints
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0.8267787098884583
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0.8046771287918091
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0.7894072532653809
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