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Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. (English) Zbl 0837.73054
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.

74R99 Fracture and damage
74B20 Nonlinear elasticity