The Non-Linear Field Theories of Mechanics, Volumen 3Springer Science & Business Media, 29 ene 2004 - 602 páginas Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph’s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field. |
Índice
The NonLinear Field Theories of Mechanics By C Truesdell Professor of Rational | 1 |
Page | 9 |
Stretching and spin | 53 |
5 | 80 |
27 | 88 |
Special classes of materials | 92 |
32 | 94 |
Fading memory | 101 |
Infinitesimal strain superimposed upon a given strain IV Solutions of special problems | 263 |
e Wave propagation | 267 |
Waves of higher order | 272 |
General theory of plane infinitesimal progressive waves | 273 |
Waves in isotropic compressible materials I General properties | 278 |
Waves in isotropic compressible materials II The case of hydrostatic pressure | 284 |
Waves in isotropic compressible materials III Determination of the stress relation from wave speeds | 285 |
Waves in isotropic compressible materials IV Secondorder effects | 289 |
Elasticity | 117 |
34 | 119 |
37 | 160 |
20 | 166 |
Incompressible elastic materials IV Nonhomogeneous solutions for bodies with certain kinds of aeolotropy and inhomogeneity | 197 |
Reduction of certain static deformations that depend upon material properties | 199 |
Plane problems | 205 |
c Exact solutions of special problems of motion | 208 |
Quasiequilibrated motions of incompressible bodies | 209 |
Radial oscillations of isotropic cylinders and spheres | 214 |
d Systematic methods of approximation | 219 |
Signorinis theorems of compatibility and uniqueness of the equi librium solution | 223 |
Rivlin and Topakoglus interpretation | 227 |
Secondorder effects in compressible isotropic materials | 229 |
Secondorder effects in incompressible isotropic materials | 241 |
Infinitesimal strain superimposed upon a given strain I General equations | 246 |
bis Infinitesimal strain superimposed upon a given strain II | 252 |
finitesimal stability | 257 |
Infinitesimal strain superimposed upon a given strain III General theory for isotropic materials | 260 |
Waves in incompressible materials | 291 |
Hyperelastic materials | 294 |
Perfect materials | 296 |
Thermal equilibrium of simple materials | 298 |
Definition of a hyperelastic material | 301 |
A Appendix History of the theory of hyperelastic materials in finite strain | 304 |
The strainenergy function | 307 |
The isotropy group of the strainenergy function Isotropic hyper elastic materials hyperelastic fluids and solids | 310 |
bis Hyperelastic subfluids | 314 |
Explicit forms of the stress relation for isotropic hyperelastic ma terials | 317 |
b General theorems | 319 |
Bettis theorem Variational problems | 324 |
Various generalizations of elasticity and hyperelasticity | 355 |
E Fluidity | 426 |
| 542 | |
Addendum | 578 |
| 591 | |
Otras ediciones - Ver todo
The Non-Linear Field Theories of Mechanics C. Truesdell,Walter Noll No hay ninguna vista previa disponible - 2010 |
The Non-linear Field Theories of Mechanics, Volumen 3,Parte 3 Clifford Truesdell,Walter Noll No hay ninguna vista previa disponible - 1965 |
Términos y frases comunes
ADKINS arbitrary assume body force boundary-value problem Cauchy-Green tensor classical COLEMAN and NOLL components consider constant constitutive equation continuum mechanics corresponding cylinder defined deformation gradient density depend derivatives determined differential equation equilibrium equivalent ERICKSEN fading memory flow follows formulae given grad hence hyperelastic materials hypo-elastic incompressible incompressible materials inequality infinitesimal theory invariant isotropic isotropic elastic material isotropic materials isotropy group linear Math mechanics motion non-linear non-Newtonian fluids obtained orthogonal orthogonal group particle physical polynomial principle of material proper numbers Rational Mech reduces reference configuration response functional RIVLIN rotation satisfied scalar second-order Sect shear shear stress simple fluids simple materials simple shear solution stress relation stress tensor stretch tensor subfluid symmetric tensor tensor function theorem theory of elasticity torsion TOUPIN TRUESDELL undistorted unique variables visco-elasticity viscometric viscosity waves yields