Abstract
This paper presents the study on an equivalent anisotropic elastic damage model, i.e. the series model, which is constructed by coupling the truss microstructure in series with an isotropic volumetric elastic element. This model can simulate the material with any thermodynamically admissible values of Poisson’s ratio as well as inherit the simplicity of the truss microstructure model. Further discussion indicates that at least two independent scalars are needed to characterize the isotropic damage. This coupling method presented in this work provides a new way to research anisotropic damage of materials. DOI: http://dx.doi.org/10.5755/j01.mech.22.1.12352
Highlights
Since Kachanov [1] firstly introduced a scalar damage concept to describe creep of metals in 1958, continuum damage mechanics has been applied to different materials, such as concrete, geological materials, polymers, composites and other materials, and to a wide variety of damage phenomena including elastic-plastic damage, elastic-brittle damage, fatigue damage, dynamic and spall damage, etc [2]
For the series model with vC being taken to be -1, the coupled elastic element has an infinite shear modulus GC, it is reasonable to assume that the element does not change its shape during the damage process, i.e. vC is always equal to -1 during the damage process
A series model is constructed by coupling the truss microstructure with an elastic element, which can simulate the material with any thermodynamically admissible value of Poisson’s ratio as well as retain the simplicity of the truss microstructure
Summary
Since Kachanov [1] firstly introduced a scalar damage concept to describe creep of metals in 1958, continuum damage mechanics has been applied to different materials, such as concrete, geological materials, polymers, composites and other materials, and to a wide variety of damage phenomena including elastic-plastic damage, elastic-brittle damage, fatigue damage, dynamic and spall damage, etc [2]. In the study of Zhang and Zhao [16], a truss microstructure model was proposed to describe the anisotropic damage of material in a simple way, but the value of Poisson’s ratio ν is a constant of 0.25. We couple the truss microstructure, which has the constant Poisson’s ratio of 0.25, in series with an isotropic volumetric elastic element subjected to the same stress tensor σij. This thought is inspired from the study of Caner and Bažant [19] and Voyiadjis [20]. Further discussion indicates that at least two independent scalars are needed to characterize the isotropic damage
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