Mechanical Response of Porous Materials: The Gurson Model

Cunda, Luiz A. B. da; Creus, Guillermo J.

doi:10.1007/978-3-642-40945-5_6

Cited by 2 publications

(2 citation statements)

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“…In this section, an exact solution of the equations of the previous section is derived in the cylindrical coordinates assuming that the solution is independent of and z. It is then demonstrated that the solution is compatible with the boundary conditions (1) and (2). Suppose that all components of the stress tensor vanish except for the shear component .…”

Section: Solutionmentioning

confidence: 96%

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Qualitative Behaviour of Elastic-Plastic Solutions for a Class of Damage Mechanics Models Near Bimaterial Interfaces: A Simple Analytical Example

Alexandrov

Mustafa

2013

Mathematical Problems in Engineering

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The paper presents an exact analytic solution for a class of elastic-plastic models with damage evolution. The boundary value problem consists of a planar deformation comprising the simultaneous shearing and expansion of a hollow cylindrical specimen of material and involves a bimaterial interface at which the materials stick to each other. With no loss of generality for understanding the qualitative behaviour of the solution near the bimaterial interface, an extreme case when the hard material is rigid is considered. The solution is reduced to a transcendental equation for the value of the equivalent plastic strain at the bimaterial interface. This equation predicts that the equivalent plastic strain attains a maximum under certain conditions. The existence of the solution of the boundary value problem depends on the value of the damage parameter at fracture, which is a material constant. In particular, if this value is larger than the value of the damage parameter at the bimaterial interface corresponding to the maximum possible value of the equivalent strain at this interface, then no solution exists. Experimental data available in the literature are used to assess whether Lemaitre’s model is applicable.

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Section: Solutionmentioning

confidence: 96%

“…In particular, the material is plastically compressible. A recent review of models of this group is provided in [2]. In the present paper, a wide class of models of group (ii) for elastic-plastic materials is adopted.…”

Section: Introductionmentioning

confidence: 99%