Dynamic Response of Nonlinear Media at Large Strains

by Joseph H. Heifitz, Stress Analyst; EBASCO Corp., New York, NY,
Carl J. Costantino, Assoc. Prof.; Dept. of Civ. Engrg., City Coll. of New York, New York, NY,


Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 6, Pg. 1511-1528


Document Type: Journal Paper

Abstract: A finite element formulation is presented to treat the two-dimensional (plane or axisymmetric) response of elastic-plastic media to dynamic loadings including the effects of finite strains and rotations. The material constitutive laws are written in incremental fashion in terms of frame indifferent quantities, and applied to materials undergoing large deformations due to impulsive loadings. As an example, the Prandtl-Reuss relations are extended to include the effects of finite strains and included in developing the finite element equations of motion. Numerical results are presented for dynamic loading of a ring-reinforced tube subjected to internal blast loadings, dynamic forming of a flat circular plate against a parabolic die, and impact of an ogive projectile impinging against a flat rigid plate.

Subject Headings: Impulsive loads | Finite element method | Strain | Equations of motion | Impact loads | Plates | Axisymmetry

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