Titlebook: Non-Linear Mechanics of Materials; Jacques Besson,Georges Cailletaud,Samuel Forest Book 2010 Springer Science+Business Media B.V. 2010 dam

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Book 2010lications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design

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0925-0042 y material: .In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possib

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3D plasticity and viscoplasticity,mechanical histories, recovery, extra-hardening, anisotropy, etc. Both single potential and multipotential approaches are investigated. The latter includes models suitable for DS alloys or single crystals. The behaviour of porous material is also investigated.

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Elements of microstructural mechanics,operties of individual phases and their arrangement in space. The notion of Representative Volume Element is defined and its size is estimated in the case of random materials. The limits of homogenization are explored when the characteristic wave length of mean field variation becomes close to the size of heterogeneities.

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Inelastic constitutive laws at finite deformation, results for the simple glide of isotropic or single crystalline materials provide a clear assessment of various classes of finite deformation material models. Finally the theory is extended to generalized continua such as the Cosserat medium.

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Strain localization phenomena,ment simulations can be performed to predict the onset of various localization modes. The analysis of the post-localization behavior requires the introduction of regularization methods, such as the mechanics of generalized continua, to restore the well-posedness of the boundary value problem.

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978-94-007-3114-1Springer Science+Business Media B.V. 2010

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