LEADER 04026nam 22006735 450 001 9910254328603321 005 20251113161708.0 024 7 $a10.1007/978-981-10-3764-1 035 $a(CKB)3710000001095356 035 $a(DE-He213)978-981-10-3764-1 035 $a(MiAaPQ)EBC4822061 035 $a(PPN)199764891 035 $a(EXLCZ)993710000001095356 100 $a20170311d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling in Solid Mechanics /$fedited by Francesco dell'Isola, Mircea Sofonea, David Steigmann 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XV, 316 p. 86 illus., 43 illus. in color.) 225 1 $aAdvanced Structured Materials,$x1869-8441 ;$v69 311 08$a981-10-3763-9 311 08$a981-10-3764-7 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a1 Convergence of Hencky-type discrete beam model to Euler inextensible Elastica in large deformation: rigorous proof -- 2 Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor -- 3 Flow relations and yield functions for dissipative strain-gradient plasticity -- 4 Finite elasto-plastic models for lattice defects in crystalline materials. 330 $aThis book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists. 410 0$aAdvanced Structured Materials,$x1869-8441 ;$v69 606 $aMechanics, Applied 606 $aSolids 606 $aMathematics$xData processing 606 $aNumerical analysis 606 $aMathematical physics 606 $aSolid Mechanics 606 $aComputational Science and Engineering 606 $aNumerical Analysis 606 $aTheoretical, Mathematical and Computational Physics 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aMathematics$xData processing. 615 0$aNumerical analysis. 615 0$aMathematical physics. 615 14$aSolid Mechanics. 615 24$aComputational Science and Engineering. 615 24$aNumerical Analysis. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a620.00151 702 $adell'Isola$b Francesco$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSofonea$b Mircea$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSteigmann$b David$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254328603321 996 $aMathematical Modelling in Solid Mechanics$92241004 997 $aUNINA