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Diese werden in der Regel verwendet coordinates cylindrical in components Tensor theoremA.13 divergence the and operator gradient The dimensionsA.12 six in tensors and vectors Special circlesA.11 Mohr's to Connection A.10 products cross vector and alternator The tensorA.9 inertia of moment The tensorsA.8 rank Second spacesA.7 Vector transformationsA.6 Linear n-tuplesA.5 of algebra The matricesA.4 square of algebra and types The matricesA.3 row and column square, of Definition rationaleA.2 and Introduction A.1 tensors and Matrices A. materialsAppendix crystalline for theories Plasticity materials12.7 granular anisotropic of test compression triaxial Numerical materials12.6 granular anisotropic of test compression biaxial Numerical parameters12.6 material the for equations Evolution kinematics12.5 shearing double Dilatant localization).12.4 shear and hardening/softening, anisotropy, (dilatancy/contractancy, materials granular by exhibited characteristics deformation particular Some materials12.3 anisotropic sensitive pressure for criteria Yield materials12.2 anisotropic to criterion Mises von of Extension Theory12.1 Plasticity 12. Chapter literature Relevant 11.11 elasticity Incompressible hyperelasticity11.10 deformation Finite 11.9 relation stress-strain deformation finite isotropic The elasticity11.8 deformation Finite measures11.7 Stress deformations11.6 large in change surface and volume of Measures deformations11.5 large for measures strain The gradients11.4 deformation the of decomposition Polar deformations11.3 homogeneous Large deformations11.2 Large 11.1 deformations large of mechanics and Kinematics 11. literatureChapter Relevant disc10.9 intervertebral the on experiments compression and swelling Modeling mixture10.8 constituent four the and thermodynamics irreversible Linear equations10.7 governing the medium, porous charged a for model Continuum pressure10.6 osmotic and equilibrium Donnan processes10.5 mixture in irreversibility of statement A mixtures10.4 for laws conservation The mixtures10.3 of Kinematics Introduction10.2 10.1 Mixture 10 Chapter literature Relevant disc9.12 anisotropic an of compression unconfined the example: An problems9.11 poroelastic isotropic example Some poroelasticity9.10 incompressible of equations basic The poroelasticity9.9 of equations basic The conservation9.8 momentum and mass of Expressions coefficients9.7 elastic undrained The constraints9.6 incompressibility fluid pore and material Matrix Law9.5 Darcy's relation9.4 constitutive pressure content-stress-pore fluid The relation9.3 constitutive pressure stress-strain-pore The materials9.2 Poroelastic 9.1 Poroelasticity 9. Chapter literature Relevant 8.8 microstructure of representations Tensorial gradients8.7 Structural permeability8.6 Effective constants8.5 elastic Effective parameters8.4 material Effective (RVE)8.3 element volume representative The 8.2 Introduction 8.1 microstructure material Modeling 8 Chapter literature Relevant materials7.6 viscoelastic of theory The fluids7.5 viscous of theory The solids7.4 elastic of theory The media7.3 porous rigid through flow fluid of theory The theories7.2 continuum of Formation 7.1 theories continuum linear Four 7. Chapter literature Relevant chirality6.10 permit that Symmetries anisotropy6.9 Curvilinear 6.8 transformation linear symmetric 6D the of forms The 6.7 A transformation linear symmetric 3D the of forms The symmetry6.6 of planes by symmetries material of Characterization symmetry6.5 mirror of Planes materials6.4 textured and materials Crystalline (RVE)6.3 element volume representative The 6.2 Introduction 6.1 symmetry material Modeling 6 Chapter literature Relevant results5.13 of Summary properties5.12 material representing coefficients the on Restrictions tensors5.11 coefficient material the of symmetry The symmetry5.10 material to due Restrictions models5.9 constitutive inhomogeneous versus Homogeneous invariance5.8 Coordinate Linearization5.7 Determinism5.6 motions5.5 object rigid under Invariance Localization5.4 ideas5.3 Constitutive equations5.2 constitutive of formulation the for Guidelines 5.1 equations constitutive of Formulation 5. energyChapter of conservation The motion4.5 of equations stress The point4.4 a at stress of state The mass4.3 of conservation The principles4.2 conservation The 4.1 laws conservation of formulations Continuum 4. compatibilityChapter of conditions strain The motions3.4 Infinitesimal motion3.3 of representation spatial the and change of Rates continuum3.2 the model, material deformable The kinematics3.1 continuum Basic 3. modelsChapter dashpot and spring the of analogs Electrical 2C equationsAppendix differential order First 2B refresherAppendix transform Laplace 2A ReferencesAppendix reductionism2.12 of limits The automata2.11 Cellular models2.10 Statistical 2.9 models parameter Lumped 2.8 model continuum deformable The model2.7 object rigid The model2.6 particle The mechanics2.5 in used models of types The problems2.4 mechanics solving and objects modeling for Guidelines world2.3 physical real the and Models Introduction2.2 2.1 materials of modeling Mechanical 2. 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EAN: | 9781461450245 |
Marke: | Springer Berlin,Springer New York,Springer |
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