Converging shocks in elastic-plastic solids

Converging shocks in elastic-plastic solids.

We present an approximate description of the behavior of an elastic-plastic material processed by a cylindrically or spherically symmetric converging shock, following Whitham's shock dynamics theory. Originally applied with success to various gas dynamics problems, this theory is presently derived for solid media, in both elastic and plastic regimes. The exact solutions of the shock dynamics eq...

Spherical indentation of elastic-plastic solids

The finite-element method is used to perform an accurate numerical study of the normal indentation of an elastic-plastic half-space by a rigid sphere. The effects of elasticity and strain-hardening rate of the half-space are explored, and the role of friction is assessed by analysing the limiting cases of frictionless contact and sticking friction. Indentation maps are constructed with axes of ...

Finite element analysis of elastic-plastic solids under Vickers indentation: surface deformation

Finite element modeling has been used to study the development of surface deformation during indentation with a Vickers indenter. A wide range of materials with different elastic modulus and yield stresses are examined. Results show that in a pyramidal indentation process, for a perfectly plastic material, sinking-in during loading can change to pile-up in unloading. This phenomenon depends on ...

Converging cylindrical shocks in ideal magnetohydrodynamics

A Higher-Order Godunov Method for Modeling Finite Deformation in Elastic-Plastic Solids

14S1 Tl'1IftlCllttCIII. J. A .• A U't:OItd ortkr alfOlilhmjOf' lit, dyrtdlftic ,*1por11' oj Joil:s, Impact Compo Sci. Efta. 2, 1990, pp. 1-19. (46) Tranaenl1.ein.l. A .• and I\:mbcr. R. B., Tit, Rll'mallllproblrmjor/onglludilttJl motion in QIII'IDSlicplQJllr:: bdr. SIAM J. Sci. Stat. Comput. 12, 1991, to appear. 141) Truesdell. C, Tltl' :s;mpl,.I1 fair thflXY of pili'#! dDSlicily, Comm. Pure Ap...