LEADER 05380nam 2200649Ia 450 001 9910458487603321 005 20191030193358.0 010 $a1-281-02469-4 010 $a9786611024697 010 $a0-08-052569-5 035 $a(CKB)1000000000365254 035 $a(EBL)296671 035 $a(OCoLC)469606615 035 $a(SSID)ssj0000200108 035 $a(PQKBManifestationID)12056137 035 $a(PQKBTitleCode)TC0000200108 035 $a(PQKBWorkID)10220627 035 $a(PQKB)11322213 035 $a(MiAaPQ)EBC296671 035 $a(Au-PeEL)EBL296671 035 $a(CaPaEBR)ebr10178586 035 $a(CaONFJC)MIL102469 035 $a(EXLCZ)991000000000365254 100 $a20050415d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe mechanics of constitutive modeling$b[electronic resource] /$fNiels Saabye Ottosen, Matti Ristinmaa 210 $aAmsterdam ;$aLondon $cElsevier$d2005 215 $a1 online resource (759 p.) 300 $aDescription based upon print version of record. 311 $a0-08-044606-X 320 $aIncludes bibliographical references (p. [705]-735) and index. 327 $aFront Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain 327 $a2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity 327 $a4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function 327 $a5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants 327 $a8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory 327 $a9.1 Change of yield surface due to loading - Hardening rules 330 $aConstitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include:Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling - Thermoplasticity - Uniqueness and discont 606 $aMechanics, Applied$xMathematical models 606 $aMathematics 608 $aElectronic books. 615 0$aMechanics, Applied$xMathematical models. 615 0$aMathematics. 676 $a620.105015118 700 $aOttosen$b Niels Saabye$0627401 701 $aRistinmaa$b Matti$0738996 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458487603321 996 $aMechanics of constitutive modeling$91463932 997 $aUNINA LEADER 02173nam2 22004573i 450 001 TO01497485 005 20231121125845.0 010 $a2503007732 100 $a20060427d2006 ||||0itac50 ba 101 | $alat$aita$clat 102 $abe 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $a˜6 [i.e. 9]: œCommentarii in epistulam Pauli Apostoli ad Galatas$fcura et studio Giacomo Raspanti 210 $aTurnhout$cBrepols$d2006 215 $aCLXXX, 315 p.$d26 cm. 225 | $aCorpus Christianorum$i. 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