Miehe, C. Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. (English) Zbl 0837.73054 Eur. J. Mech., A 14, No. 5, 697-720 (1995). The paper presents an application of continuum damage mechanics to large- strain Ogden-type elastic materials. An Eulerian setting of elasticity with isotropic damage-caused softening effect is discussed exclusively in terms of the Finger tensor as a strain measure. The local damage accumulation is related to two phenomenological variables, the maximum value and the arclength of effective free energy attained during a typical loading process. A constitutive algorithm for the computation of the nominal stresses and nominal tangent moduli for plane problems is developed. Finally, some fundamental finite-element simulations for rubber-like materials are presented. Cited in 51 Documents MSC: 74R99 Fracture and damage 74B20 Nonlinear elasticity Keywords:maximum value and arclength of effective free energy; volumetric- isochoric response; isotropic damage-caused softening; Finger tensor; strain measure; constitutive algorithm; rubber-like materials PDFBibTeX XMLCite \textit{C. Miehe}, Eur. J. Mech., A 14, No. 5, 697--720 (1995; Zbl 0837.73054)