Large deformation, rigid-plastic dynamics by an extremum principle

H. Stolarski; T. Belytschko

doi:10.1016/0045-7825(80)90032-8

Large deformation, rigid-plastic dynamics by an extremum principle

H. Stolarski, T. Belytschko

Civil, Environmental, and Geo- Engineering

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Abstract

An extremum principle for large deformations of rigid-plastic continua which is an extension of the principle by Tamuzh is presented. Both piecewise linear and smooth yield conditions are considered. A specialization of the principle for rod structures is given and a numerical procedure is developed for determining the rigid-plastic response of structures by solving a series of quadratic programming problems. Results presented show satisfactory agreement with both numerical solutions based on elastic plastic models of the material and experimental investigations.

Original language	English (US)
Pages (from-to)	217-230
Number of pages	14
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(80)90032-8
State	Published - Feb 1980

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abstract = "An extremum principle for large deformations of rigid-plastic continua which is an extension of the principle by Tamuzh is presented. Both piecewise linear and smooth yield conditions are considered. A specialization of the principle for rod structures is given and a numerical procedure is developed for determining the rigid-plastic response of structures by solving a series of quadratic programming problems. Results presented show satisfactory agreement with both numerical solutions based on elastic plastic models of the material and experimental investigations.",

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AB - An extremum principle for large deformations of rigid-plastic continua which is an extension of the principle by Tamuzh is presented. Both piecewise linear and smooth yield conditions are considered. A specialization of the principle for rod structures is given and a numerical procedure is developed for determining the rigid-plastic response of structures by solving a series of quadratic programming problems. Results presented show satisfactory agreement with both numerical solutions based on elastic plastic models of the material and experimental investigations.

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Large deformation, rigid-plastic dynamics by an extremum principle

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