LEADER 05241nam 2200661 450 001 9910465026103321 005 20200520144314.0 010 $a1-118-91958-0 010 $a1-118-91959-9 035 $a(CKB)3710000000179913 035 $a(EBL)1729075 035 $a(SSID)ssj0001335839 035 $a(PQKBManifestationID)12525287 035 $a(PQKBTitleCode)TC0001335839 035 $a(PQKBWorkID)11287754 035 $a(PQKB)10866294 035 $a(MiAaPQ)EBC1729075 035 $a(Au-PeEL)EBL1729075 035 $a(CaPaEBR)ebr10891192 035 $a(OCoLC)891384180 035 $a(EXLCZ)993710000000179913 100 $a20140916h20142010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModelling of engineering materials /$fC. Lakshmana Rao & Abhijit P. Deshpande 210 1$aNew Delhi, India ;$aChichester, England :$cAne Books Pvt. Ltd. :$cJohn Wiley & Sons Ltd,$d2014. 210 4$dİ2010 215 $a1 online resource (266 p.) 225 1 $aAne/Athena Books 300 $aDescription based upon print version of record. 311 $a1-118-91911-4 320 $aIncludes bibliographical references and index. 327 $aCover; Title Page; Copyright; Preface; Notations; Contents ; Chapter 1 : Introduction; 1.1 Introduction to material modelling; 1.2 Complexity of material response in engineering; 1.3 Classification of modelling of material response; 1.3.1 Empirical models; 1.3.2 Micromechanical models; 1.3.3 Phenomenological models; 1.4 Limitations of the continuum hypothesis; 1.5 Focus of this book; Chapter 2 : Preliminary Concepts; 2.1 Introduction; 2.2 Coordinate frame and system; 2.3 Tensors; 2.3.1 Tensors of different orders; 2.3.2 Notations for tensors; 2.4 Derivative operators; Summary; Exercise 327 $aChapter 3 : Continuum Mechanics Concepts3.1 Introduction; 3.2 Kinematics; 3.2.1 Transformations; 3.2.1.1 Transformation of line elements; 3.2.1.2 Transformation of volume elements; 3.2.1.3 Transformation of area elements; 3.2.2 Important types of motions; 3.2.2.1 Isochoric deformations; 3.2.2.2 Rigid body motion; 3.2.2.3 Homogeneous deformations; 3.2.3 Decomposition of deformation gradient; 3.2.3.1 Polar decomposition theorem; 3.2.3.2 Stretches; 3.2.4 Strain measures; 3.2.4.1 Displacements; 3.2.4.2 Infinitismal strains; 3.2.5 Motions; 3.2.5.1 Velocity gradient 327 $a3.2.6 Relative deformation gradient3.2.7 Time derivatives viewed from different coordinates; 3.2.7.1 Co-rotational derivatives; 3.2.7.2 Convected derivatives; 3.3 Balance laws; 3.3.1 Transport theorem; 3.3.2 Balance of mass; 3.3.3 Balance of linear momentum; 3.3.4 Balance of angular momentum; 3.3.5 Work energy identity; 3.3.6 Thermodynamic principles; 3.3.6.1 First law of thermodynamics; 3.3.6.2 Second law of thermodynamics; 3.3.6.3 Alternate energy measures in thermodynamics; 3.3.7 Referential description of balance laws 327 $a3.3.7.1 Relations between variables in deformed and undeformed configurations3.3.7.2 Statement of the balance laws in reference configuration; 3.3.8 Indeterminate nature of the balance laws; 3.3.9 A note on multiphase and multi-component materials; 3.3.9.1 Chemical potential; 3.4 Constitutive relations; 3.4.1 Transformations; 3.4.1.1 Euclidean transformations; 3.4.1.2 Galilean transformations; 3.4.2 Objectivity of mathematical quantities; 3.4.3 Invariance of motions and balance equations; 3.4.4 Invariance of constitutive relations; 3.4.4.1 Frame invariance in a thermoelastic material 327 $a3.4.4.2 Constitutive relations for thermoelastic materials3.4.4.3 Frame invariance and constitutive relations for a thermoviscous fluid; 3.4.5 Frame invariance of derivatives; Summary; Exercise; Chapter 4 : Linear Mechanical Models of Material Deformation; 4.1 Introduction; 4.2 Linear elastic solid models; 4.2.1 Small strain assumption of linear elasticity; 4.2.2 Classes of elastic constants; 4.2.2.1 General anisotropic linear elastic solid; 4.2.2.2 Materials with single plane of elastic symmetry; 4.2.2.3 Materials with two planes of elastic symmetry 327 $a4.2.2.4 Materials with symmetry about an axis of rotation 330 $a Modelling of Engineering Materials presents the background that is necessary to understand the mathematical models that govern the mechanical response of engineering materials. The book provides the basics of continuum mechanics and helps the reader to use them to understand the development of nonlinear material response of solids and fluids used in engineering applications. A brief review of simplistic and linear models used to characterize the mechanical response of materials 410 0$aAne/Athena Books 606 $aEngineering$xManagement 606 $aIndustrial engineering 608 $aElectronic books. 615 0$aEngineering$xManagement. 615 0$aIndustrial engineering. 676 $a658.404 700 $aLakshmana Rao$b C.$0936513 702 $aDeshpande$b Abhijit P. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465026103321 996 $aModelling of engineering materials$92109571 997 $aUNINA