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1 | (30) |
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Configuration and Deformation |
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1 | (3) |
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Change of Reference Configuration |
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4 | (1) |
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4 | (4) |
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8 | (5) |
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13 | (4) |
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Material and Spatial Descriptions |
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14 | (3) |
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17 | (3) |
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20 | (2) |
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Change of Frame and Objective Tensors |
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22 | (9) |
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Transformation Property of Motion |
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25 | (1) |
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Property of Some Kinematic Quantities |
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26 | (5) |
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31 | (32) |
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31 | (7) |
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Field Equation and Jump Condition |
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35 | (1) |
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Balance Equations in Material Coordinates |
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36 | (2) |
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38 | (3) |
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41 | (10) |
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42 | (1) |
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43 | (7) |
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Conservation of Linear and Angular Momenta |
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50 | (1) |
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51 | (3) |
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Summary of Basic Equations |
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54 | (4) |
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Basic Equations in Material Coordinates |
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56 | (1) |
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Boundary Conditions of a Material Body |
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57 | (1) |
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Field Equations in Arbitrary Frames |
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58 | (5) |
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Basic Principles of Constitutive Theories |
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63 | (34) |
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63 | (2) |
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Principle of Material Objectivity |
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65 | (7) |
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In Referential Description |
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68 | (2) |
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An Example: a Particular Class of Materials |
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70 | (2) |
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72 | (3) |
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Reduced Constitutive Relations |
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75 | (2) |
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77 | (9) |
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Constitutive Equation for a Simple Solid Body |
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81 | (1) |
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Constitutive Equation for a Simple Fluid |
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82 | (2) |
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Fluid Crystal within Intrinsic Direction |
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84 | (2) |
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86 | (3) |
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Constitutive Equation of an Isotropic Material |
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88 | (1) |
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89 | (8) |
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90 | (2) |
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Boltzmann--Volterra Theory of Viscoelasticity |
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92 | (1) |
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Linear Viscoelasticity of Rate Type |
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93 | (1) |
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Remark on Objectivity of Linear Elasticity |
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94 | (3) |
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Representation of Constitutive Functions |
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97 | (32) |
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97 | (1) |
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98 | (14) |
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Isotropic Elastic Materials and Linear Elasticity |
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107 | (2) |
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Reiner-Rivlin Fluids and Navier-Stokes Fluids |
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109 | (2) |
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111 | (1) |
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Representation of Isotropic Functions |
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112 | (7) |
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Isotropic Thermoelastic Solids and Viscous Heat-Conducting Fluids |
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118 | (1) |
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119 | (3) |
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122 | (7) |
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Transverse Isotropy and Orthotropy |
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124 | (2) |
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On Irreducibility of Invariant Sets |
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126 | (3) |
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129 | (24) |
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129 | (2) |
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131 | (1) |
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Thermodynamics of Elastic Materials |
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132 | (7) |
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135 | (4) |
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Elastic Materials with Internal Constraints |
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139 | (5) |
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144 | (5) |
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Thermodynamic Stability Criteria |
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148 | (1) |
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149 | (4) |
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153 | (30) |
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153 | (2) |
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Boundary Value Problems in Elasticity |
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155 | (2) |
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157 | (3) |
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158 | (1) |
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159 | (1) |
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Symmetric Loading of a Square Sheet |
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160 | (6) |
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Stability of a Square Sheet |
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162 | (4) |
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166 | (3) |
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Pure Shear of a Square Block |
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169 | (4) |
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Finite Deformation of Spherical Shells |
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173 | (6) |
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Eversion of a Spherical Shell |
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175 | (1) |
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Inflation of a Spherical Shell |
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176 | (3) |
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Stability of Spherical Shells |
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179 | (4) |
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Stability under Constant Pressures |
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180 | (1) |
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Stability for an Enclosed Spherical Shell |
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181 | (2) |
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Thermodynamics with Lagrange Multipliers |
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183 | (16) |
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183 | (1) |
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Viscous Heat-Conducting Fluid |
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184 | (5) |
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186 | (2) |
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Navier--Stokes -Fourier Fluids |
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188 | (1) |
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Method of Lagrange Multipliers |
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189 | (5) |
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190 | (1) |
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191 | (3) |
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Relation Between Entropy Flux and Heat Flux |
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194 | (5) |
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Theorem of Parallel Isotropic Vector Functions |
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194 | (5) |
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Rational Extended Thermodynamics |
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199 | (34) |
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199 | (1) |
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Formal Structure of System of Balance Equations |
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200 | (7) |
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Symmetric Hyperbolic System |
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201 | (3) |
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204 | (3) |
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System of Moment Equations |
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207 | (6) |
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213 | (4) |
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214 | (2) |
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216 | (1) |
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Thirteen-Moment Theory of Viscous Heat-Conducting Fluid |
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217 | (9) |
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223 | (2) |
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225 | (1) |
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226 | (2) |
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227 | (1) |
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228 | (1) |
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Stationary Heat Conduction in Ideal Gases |
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228 | (5) |
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Fourier's Law and Heat Conduction |
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229 | (1) |
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Heat Conduction in Thirteen-Moment Theory |
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229 | (3) |
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Remark on Boundary Value Problems |
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232 | (1) |
A. Elementary Tensor Analysis |
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233 | (56) |
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233 | (29) |
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234 | (1) |
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235 | (3) |
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238 | (5) |
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Transformation Rules for Components |
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243 | (2) |
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245 | (6) |
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Exterior Product and Vector Product |
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251 | (3) |
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254 | (2) |
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Some Theorems of Linear Algebra |
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256 | (6) |
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262 | (27) |
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262 | (1) |
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263 | (9) |
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272 | (3) |
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275 | (2) |
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Other Differential Operators |
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277 | (4) |
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281 | (1) |
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Orthogonal Coordinate Systems |
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282 | (7) |
References |
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289 | (4) |
Index |
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293 | |