LEADER 04125nam 22007215 450 001 9910624302003321 005 20230810175619.0 010 $a9783031091575$b(electronic bk.) 010 $z9783031091568 024 7 $a10.1007/978-3-031-09157-5 035 $a(MiAaPQ)EBC7134641 035 $a(Au-PeEL)EBL7134641 035 $a(CKB)25301725900041 035 $a(DE-He213)978-3-031-09157-5 035 $a(PPN)266354610 035 $a(EXLCZ)9925301725900041 100 $a20221110d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEngineering Elasticity $eElasticity with less Stress and Strain /$fby Humphrey Hardy 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (275 pages) 311 08$aPrint version: Hardy, Humphrey Engineering Elasticity Cham : Springer International Publishing AG,c2022 9783031091568 320 $aIncludes bibliographical references and index. 327 $aGetting ready (mostly review) -- Deformations -- Forces -- Force-energy relationships -- Isotropic materials -- Minimizing energy -- Simulations -- Quasi-static simulation examples -- The invariants -- Experiments -- Time dependent simulations -- Anisotropic Materials -- Plot deformation, displacements, and forces -- Euler-Lagrange elasticity -- Linear elasticity -- Classical finite elasticity -- Appendix A Deformation in jig coordinates -- Appendix B Origins of Anisotropic Invariants -- Appendix C Euler-Lagrange equations -- Appendix D Project Ideas. 330 $aThis textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain. These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described. This text, by contrast, introduces only one strain measure and one stress measure. No tensor analysis is required. The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials. The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques. The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity. Explains ably simulation of materials undergoing large deformations Illustrates a simpler mathematical base to build thermodynamic and viscoelastic theories Describes how experimenters can make better numerical descriptions of deformable bodies. 606 $aMaterials$xFatigue 606 $aMechanics, Applied 606 $aContinuum mechanics 606 $aPhysics 606 $aStatics 606 $aMaterials 606 $aMaterials Fatigue 606 $aEngineering Mechanics 606 $aContinuum Mechanics 606 $aClassical and Continuum Physics 606 $aMechanical Statics and Structures 606 $aMaterials Engineering 615 0$aMaterials$xFatigue. 615 0$aMechanics, Applied. 615 0$aContinuum mechanics. 615 0$aPhysics. 615 0$aStatics. 615 0$aMaterials. 615 14$aMaterials Fatigue. 615 24$aEngineering Mechanics. 615 24$aContinuum Mechanics. 615 24$aClassical and Continuum Physics. 615 24$aMechanical Statics and Structures. 615 24$aMaterials Engineering. 676 $a531.382 676 $a620.11232 700 $aHardy$b Humphrey$01265497 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910624302003321 996 $aEngineering Elasticity$92967871 997 $aUNINA