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Abstract : An explicit and exact solution describing the formation of a shear band is given in a theory of rigid-plastic materials that soften after a certain amount of deformation. The solution yields a shear band whose width is determined by material parameters, not by spatial wavelengths associated with perturbations of the homogeneous initial configuration. Although the constitutive relations of the theory do not contain the rate of deformation explicitly, the parameters in the theory will be rate-dependent in application. The theory is expected to supply a useful, albeit approximate, model for the mechanical behavior of ductile metals in quasiadiabatic processes.





Autor: B. Coleman M. Hodgdon

Fuente: https://hal.archives-ouvertes.fr/



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