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Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. (English) Zbl 0888.73018
The paper addresses standard constitutive equations to model strong discontinuities (cracks, shear bands, slip lines, etc.) in solid mechanics. The strong discontinuity analysis is introduced, and a link between continuum and discrete approaches to the strain localization phenomena is obtained. Applications to standard continuum damage and elastoplastic constitutive equations are presented. Relevant aspects of the numerical simulation of the problem are presented in part II.

MSC:
74C99 Plastic materials, materials of stress-rate and internal-variable type
74R99 Fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
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