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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2003, 8(3), 327-334;

Aspects of the Gurson Model and Its Applications

Zonguldak Karaelmas University, Mechanical Eng. Department, 67100 Zonguldak
Authors to whom correspondence should be addressed.
Published: 1 December 2003
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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.
Keywords: Ductile Damage; Gurson Model; Void Growth Ductile Damage; Gurson Model; Void Growth
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Özer, H.; Günay, D. Aspects of the Gurson Model and Its Applications. Math. Comput. Appl. 2003, 8, 327-334.

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