ANALYSIS OF ELASTO-PLASTIC STRESS WAVES BY A TIME-DISCONTINUOUS VARIATIONAL INTEGRATOR OF HAMILTONIAN

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This paper proposes a numerical algorithm of a time-discontinuous variational integrator based on the Hamiltonian in order to obtain more accurate results in the analysis of elasto-plastic stress wave. The algorithm proposed adopts both a time-discontinuous variational integrator and space-continuous Hamiltonian so as to capture discontinuities of stress waves. The algorithm also adopts the limited kinetic energy to enhance the stability of the numerical algorithm so as to solve the discontinuities such as elastic unloading and internal reflection in plastic deformation. Finite element analysis of one dimensional elasto-plastic stress waves is carried out in order to demonstrate the accuracy of the algorithm proposed.
Publisher
World Scientific Publishing
Issue Date
2008
Keywords

elasto-plastic stress waves; time-discontinuous variational integrator; Hamiltonian; limited kinetic energy; elasto-plastic stress waves; time-discontinuous variational integrator; Hamiltonian; limited kinetic energy

Citation

Modern Physics Letter B, Vol.22, No.31-32, pp.6249-6264

DOI
10.1142/S0217979208051881
URI
http://hdl.handle.net/10203/13460
Appears in Collection
ME-Conference Papers(학술회의논문)

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