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- W97345787 abstract "A formulation is presented for equations governing the flow and deformation of perfect- and work-hardening- rigid/plastic materials comprising the stress equilibrium equations, yield condition and a constitutive equation relating the strain-rate tensor to the stress and stress-rate tensors. Special cases of the equations correspond to models which govern the behaviour of metals, sands, clays and jointed-rock type materials, in particular, work-hardening metal plasticity, the critical state and cone-and-cap models for soils, the double-shearing model for flows of perfectly plastic granular materials and the yield vertex model for jointed rock material are included, as are models for Mohr-Coulomb materials, associated and non-associated flow rules for materials admitting a plastic potential and non-associated flow rules containing the stress-rate. The equations appropriate for plane deformation in the hyperbolic regime are presented in invariant, Cartesian and characteristic forms. A general boundary/initial value problem is formulated and the discretisation of the governing planar equations expressed in characteristic form suitable for numerical integration is presented enabling numerical approximations to the solutions of a wide variety of boundary/initial value problems to be obtained. The equations have application to mechanical, civil and geotechnical engineering, to technological problems (e.g. bulk handling of solids) and to fundamental studies in soil mechanics, geophysics and the mechanics of granular materials." @default.
- W97345787 created "2016-06-24" @default.
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- W97345787 date "1993-01-01" @default.
- W97345787 modified "2023-09-23" @default.
- W97345787 title "EQUATIONS GOVERNING THE PLANE DEFORMATION OF ISOTROPIC RIGID-PLASTIC MATERIALS AND THE NUMERICAL APPROXIMATION TO SOLUTIONS" @default.
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- W97345787 doi "https://doi.org/10.1016/b978-0-444-89991-0.50032-9" @default.
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