Term:	Mathematical definition:	Physical definition:
Domain	([495] p. 222, same as Gebiet), [496] (p. 1, same as Region)	see Illustration 1
Boundary	[497] (pp. 25, 28, same as Frontier)	see Illustration 1
Boundary Condition	[498] (p. 23)	see Illustration 2
Constitutive equation	[499] (p. 170), [219] (p. 69), [500] (p. 1644), [494] (p. 276)	[222] (p. 170), [499] (p. 169), [206] (p. 35), [219] (p. 69), [501] (p. 273), [502] (p. 2), [494] (p. 223), [500] (p. 1642)
Elastic material (or Cauchy-elastic material)	[503] (p. 170), [504] (p. 207) [499] (p. 175), [502] (p. 117), [494] (p. 297)	[505] (p. 201), [506] (pp. 1, 444), [28] (p. 147)
Hyperelastic material (or Green-elastic)	[219] (p. 520), [503] (p. 171) [499] (p. 206), [502] (p. 294), [506] (p. 444)	[219] (p. 519), [502] (p. 13), [499] (p. 206), [28] (p. 148), [501] (p. 282)
Plastic (or elasto-plastic) material	[219] (p. 148), [506] (p. 131), [210] (p. 57)	[219] (p. 1480), [506] (p. 131), [210] (p. 52), [507] (p. 75)
Viscoelastic material	[503] (p. 174), [211] (p. 5)	[211] (p. 5), [222] (pp. 59, 217), [210] (p. 65)
Viscoplastic (or elasto-viscoplastic) material	[219] (p. 450)	[506] (p. 133), [210] (p. 65), [219] (p. 435)
Poroelasticity	[222] (p. 249)	[222] (p. 247)
Poroplasticity	[508] (p. 226)	[508] (p. 225)
Poroviscoelasticity	[508] (p. 261)	[508] (p. 261)
Poroviscoplasticity	[508] (p. 273)	[508] (p. 272)
Damage mechanics	[509] (p. 8) [510] (pp. 16, 142)	[511] (p. 1) [510] (p. 3) [512] (p. 1)
Isotropic material	[503] (p. 234), [502] (p. 78), [513] (p. 60), [504] (p. 243)	[514] (p. 25), [250] (p. 41), [505] (p. 203), [499] (p. 170)
Anisotropic material	[503] (p. 234), [502] (p. 78), [513] (p. 60), [504] (p. 243)	[514] (p. 25), [250] (p. 41), [505] (p. 203)
Linear elastic anisotropy: triclinic, monoclinic, orthotropic (or rhomibc), trigonal, tetragonal, transversally isotropic (or hexagonal), cubic, isotropic	[250] (p. 44), [222] (p. 150), [257] (p. 10)	[250] (p. 44), [222] (p. 150), [257] (p. 10)
Homogeneous material	[504] (p. 237), [502] (p. 58,59)	[502] (pp. 58, 59), [514] (p. 25), [505] (p. 203)
Inhomogeneous (or non-homogeneous, heterogeneous) material	[504] (p. 237)	[514] (p. 25), [505] (p. 203)
Properties (not only mechanical properties): global and local	[515] (p. 83)	[515] (p. 83), [516] (p. 532)
Cauchy’s equation of motion (equilibrium equation)	[504] (p. 223), [503] (pp. 153, 204), [499] (p. 148), [494] (pp. 139, 273, 307)	[222] (p. 129), [222] (p. 196)
Strain-displacement equation (or Lagrange strain tensor, strain)	[503] (p. 272), [505] (p. 84)	[206] (p. 29), [505] (p. 84)
Stress (or Cauchy stress tensor)	[504] (p. 174), [503] (p. 150) [494] (p. 137)	[206] (p. 25), [222] (p. 122), [505] (p. 157)
Displacement (or displacement vector)	[503] (p. 272), [494] (p. 297)	[206] (p. 30), [505] (p. 81)
Body force	[504] (p. 151), [503] (p. 97), [494] (p. 132)	[499] (p. 144), [494] (p. 132)
Surface force (or surface traction, stress vector, Cauchy traction field)	[503] (p. 97), [494] (p. 133)	[494] (p. 133), [206] (p. 26), [505] (p. 155)
Materials with memory	[504] (p. 201)	[502, XVIII preface to third edition]
Hookean Material (or generalized Hooke’s law, Hooke’s law)	[506] (pp. 2, 127), [505] (p. 204), [206] (p. 38)	[222] (p. 58), [211] (p. 4)