The piecewise parabolic method for elastic-plastic flow in solids
نویسندگان
چکیده
منابع مشابه
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...
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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 ...
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A proof of convergence of the finite-element method in rate-type, quasistatic boundary value problems is presented. The bodies considered may be discretely heterogeneous and elastically anisotropic, their plastic behavior governed by historydependent, piecewise-linear yield functions and fully coupled hardening rules. Elastic moduli are required to be positive-definite and plastic moduli nonneg...
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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...
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ژورنال
عنوان ژورنال: Scientific Reports
سال: 2018
ISSN: 2045-2322
DOI: 10.1038/s41598-018-28182-7