LEADER 04367nam 22007935 450 001 9910993926703321 005 20251202144311.0 010 $a9783031861185 010 $a3031861183 024 7 $a10.1007/978-3-031-86118-5 035 $a(MiAaPQ)EBC32004233 035 $a(Au-PeEL)EBL32004233 035 $a(CKB)38280271700041 035 $a(DE-He213)978-3-031-86118-5 035 $a(EXLCZ)9938280271700041 100 $a20250408d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Concise Course in Elasticity $eNonlinear and Linear Theories with Statics and Dynamics /$fby Jiashi Yang 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (217 pages) 225 1 $aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v54 311 08$a9783031861178 311 08$a3031861175 327 $aPreface -- Review of Mechanics of Materials -- Cartesian Tensors -- Kinematics -- Nonlinear Theory for Large Deformation -- Linear Theory for Small Deformation -- Saint-Venant?s Problem -- Some Simple Problems -- Antiplane Problems -- Plane Strain and Plane Stress -- Waves and Vibrations -- Appendices. 330 $aThis textbook presents a concise and comprehensive treatment of the theory of elasticity. It covers both the linear and nonlinear aspects of the theory, including both statics and dynamics. Written to be accessible to the graduate student reader, this text promotes approachability by minimizing the use of complex mathematical tools, and instead emphasizing the formulation of the initial boundary value problems. This approach makes it an ideal resource for students as well as instructors seeking a textbook designed for a one-semester graduate course in elasticity. Divided into ten chapters, the book begins with a brief review of the mechanics of materials. The theory of Cartesian tensors is then introduced, which serves as a mathematical preparation for the concise treatment of the nonlinear theory of elasticity that follows. The theory of linear elasticity is covered next with the remainder of the book then focusing on problem solving in linear elasticity. These chapters cover topics such as antiplane problems, plane-stress and plane-strain problems, and elastodynamics. Five appendices appear at the end, which include basic equations of elasticity in cylindrical, polar, and spherical coordinates, as well as a collection of vector identities that appear throughout the book. A Concise Course in Elasticity is an ideal textbook for a one-semester graduate course on elasticity. Graduate students interested in this topic will appreciate the author?s accessible approach. Instructors will find the comprehensive coverage uniquely suited to providing an overview of the area. Readers are assumed to have some experience at the undergraduate level of the mechanics of materials. 410 0$aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v54 606 $aDifferential equations 606 $aDynamics 606 $aContinuum mechanics 606 $aMechanics, Applied 606 $aSolids 606 $aDifferential Equations 606 $aDynamical Systems 606 $aContinuum Mechanics 606 $aSolid Mechanics 606 $aEquacions diferencials$2thub 606 $aDināmica$2thub 606 $aMecānica dels medis continus$2thub 606 $aMecānica aplicada$2thub 606 $aSōlids$2thub 608 $aLlibres electrōnics$2thub 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aContinuum mechanics. 615 0$aMechanics, Applied. 615 0$aSolids. 615 14$aDifferential Equations. 615 24$aDynamical Systems. 615 24$aContinuum Mechanics. 615 24$aSolid Mechanics. 615 7$aEquacions diferencials 615 7$aDināmica 615 7$aMecānica dels medis continus 615 7$aMecānica aplicada 615 7$aSōlids 676 $a515.35 700 $aYang$b Jiashi$0476573 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910993926703321 996 $aA Concise Course in Elasticity$94368699 997 $aUNINA