Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials

DOI10.1017/S0334270000003787zbMath0504.73025MaRDI QIDQ4741763

Ray W. Ogden, E. H. Twizell

Publication date: 1983

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

incompressible isotropic elastic materialsfour-term stress- deformation functionLevenberg-Marquardt nonlinear least squares optimization algorithmOgden's stress-deformation functionsystematic optimization procedure for calculating material constantsthree-term stress-deformation functions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10)

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