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Titlebook: Mathematical Modelling in Solid Mechanics; Francesco dell‘Isola,Mircea Sofonea,David Steigman Book 2017 Springer Nature Singapore Pte Ltd.

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书目名称Mathematical Modelling in Solid Mechanics
编辑Francesco dell‘Isola,Mircea Sofonea,David Steigman
视频video
概述Provides an excellent state of the art in the field of mathematical modelling in mechanics.Offers new results, techniques and concepts.Presents selected papers presented at ETAMM 2016.Includes supplem
丛书名称Advanced Structured Materials
图书封面Titlebook: Mathematical Modelling in Solid Mechanics;  Francesco dell‘Isola,Mircea Sofonea,David Steigman Book 2017 Springer Nature Singapore Pte Ltd.
描述.This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:..mathematical modelling in solid, fluid and contact mechanics.nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics.numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering.numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools.mechanics of fibre-reinforced materials.behaviour of elasto-plastic materials accounting for the microstructural defects.definition of structural defects based on the differential geometry concepts or on the atomistic basis.interaction between phase transformation and dislocations at nano-scale.energetic arguments.bifurcation and post-buckling analysis of elasto-plastic structures.engineering optimization and design, global optimization and related algorithms...The book presents selected papers presented at ETAMM 20
出版日期Book 2017
关键词ETAMM 2016; nonconvex variational analysis; nonsmooth constitutive laws; fibre-reinforced materials; mic
版次1
doihttps://doi.org/10.1007/978-981-10-3764-1
isbn_softcover978-981-10-9961-8
isbn_ebook978-981-10-3764-1Series ISSN 1869-8433 Series E-ISSN 1869-8441
issn_series 1869-8433
copyrightSpringer Nature Singapore Pte Ltd. 2017
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Mathematical Modelling in Solid Mechanics978-981-10-3764-1Series ISSN 1869-8433 Series E-ISSN 1869-8441
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https://doi.org/10.1007/978-981-10-3764-1ETAMM 2016; nonconvex variational analysis; nonsmooth constitutive laws; fibre-reinforced materials; mic
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Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation:systems as pantographic sheets as well as woven fabrics. .-convergence of the discrete model towards the inextensible Euler’s beam model is proven and the result is established for placements in . in large deformation regime.
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Finite Elasto-Plastic Models for Lattice Defects in Crystalline Materials,The geometrical measure of defects, dislocations and disclinations, are related to the incompatibilities of the so-called plastic distortion and plastic connection, respectively. The coupling between defects is described through the non-local evolution equations which are compatible with the free energy imbalance principle.
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A Continuous Model for the Wave Scattering by a Bounded Defective Domain,upposed to be a Riemann–Cartan manifold with a connection enriched by a nonzero torsion. The study is followed until to reveal analytical solutions. The scattering of a defective domain shows explicitly some non-classical phenomena.
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,Truncation and Indirect Incremental Methods in Hencky’s Perfect Plasticity,nsider truncation and indirect incremental methods of limit analysis which can be interpreted as penalization techniques. Further, convergence for higher order finite elements is shown. The efficiency of the proposed approaches is illustrated on numerical experiments with the von Mises and Drucker–Prager yield criteria.
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Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Frac by an abrupt crack growth, is obtained by suitably parameterizing the system. The model can be easily generalized to higher order interactions corresponding, in the homogenized limit, to higher gradient continuum theories.
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