Abstract
A model is put forward for describing the elastic deformation of a quasi-homogeneous isotropic material capable of accumulating scattered microdamages during loading, which eventually leads to its total failure. The degree of damage of the material at a point is characterized by a centrosymmetric scalar function on the unit sphere, named the damage function, whose values depend on a dimensionless equivalent stress. This function is approximated by a fourth-rank tensor, which is used to construct a constitutive relation between stresses and strains in a differential form. By way of example, the elastic deformation of concrete and the degradation of its linearly elastic properties are described, and the basic three-dimensional sections of the corresponding strength surface are constructed.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 42, No. 2, pp. 193–208, March–April, 2006.
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Lagzdins, A., Zilaucs, A. Description of the elastic deformation and degradation of elastic properties of dispersedly failing isotropic materials. Mech Compos Mater 42, 129–140 (2006). https://doi.org/10.1007/s11029-006-0024-5
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DOI: https://doi.org/10.1007/s11029-006-0024-5