A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics

DOI10.1016/S0045-7825(01)00257-2zbMath1022.74013WikidataQ127015880 ScholiaQ127015880MaRDI QIDQ5948244

Publication date: 8 November 2001

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

zbMATH Keywords

finite element method initial value problems nonlinear elastodynamics critical stress update formula energy-momentum algorithm hyperelastic continuum neo-Hookean material quadratically convergent Newton-Raphson solution stored energy functions temporal discretization

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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