Abstract
Ductile fracture in metals can involve the generation of considerable porosity caused by nucleation, growth and coalescence of microvoids. This process takes place on micro-level and can not describe by traditional constitutive laws such as von Mises theory. Hence, A. L. Gurson developed a theory which takes account of void growth and showed the role of hydrostatic stress in plastic yield and void growth. In this model the void volume fraction f (the portion of void in the material) is the single damage parameter; its evolution is defined by the incompressibility of the matrix material. (For Lameitre's model the damage variable D is relevant.) To model the material damage by using the Gurson damage approach a series of single elements including different types of loading are used. In the single element cases the results of the Gurson model and von Mises are also compared. In calculations the MARC finite elements software is used to calculate stress, strains and f the void volume fraction.
Highlights
Ductile fracture is a common cause of failure in engineering structures
Gurson introduced a model for ductile fracture which includes the influence of hydrostatic stress on the evolution of plasticity condition and combines plasticity with damage by introducing porosity of a metal [1]. This model is called the Gurson model. It assumes cylindrical and spherical voids surrounded by homogenous, incompressible von Mises material
The Gurson model characterizes the porosity by a single-scale internal variable f the void volume ft;aetion
Summary
Ductile fracture is a common cause of failure in engineering structures. A damaged ductile material consists of two parts: matrix medium and damage, e.g. voids. L. Gurson introduced a model for ductile fracture which includes the influence of hydrostatic stress on the evolution of plasticity condition and combines plasticity with damage by introducing porosity of a metal [1]. It assumes cylindrical and spherical voids surrounded by homogenous, incompressible von Mises material (matrix).
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