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A yield criterion for porous single crystals based on limit analysis

Rénald Brenner-2014-01-01-Purdue e-Pubs (Purdue University System)

TL;DRAbstract

The ductile fracture of crystalline materials is a classical subject in mechanics of materials which still presents important challenges. It is driven by the process of growth and coalescence of voids and thus calls for constitutive models of the plastic response of porous crystalline materials. In this context, the consideration of the anisotropy, related to the single crystal response and the morphological and crystallographic textures of polycrystals, is a key issue. As compared to the studies on polycrystals, relatively few studies exist on the constitutive response of plastic single crystals containing voids. However, the importance of the crystalline anisotropy to describe the stress state surrouding intragranular voids has been clearly evidenced analytically, experimentally and numerically. The objective of this study is to derive a Gurson-type yield function for porous single crystals. Because of the widely spread finite-element (FE) implementations of the Gurson model, it woul

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The ductile fracture of crystalline materials is a classical subject in mechanics of materials which still presents important challenges. It is driven by the process of growth and coalescence of voids and thus calls for constitutive models of the plastic response of porous crystalline materials. In this context, the consideration of the anisotropy, related to the single crystal response and the morphological and crystallographic textures of polycrystals, is a key issue. As compared to the studies on polycrystals, relatively few studies exist on the constitutive response of plastic single crystals containing voids. However, the importance of the crystalline anisotropy to describe the stress state surrouding intragranular voids has been clearly evidenced analytically, experimentally and numerically. The objective of this study is to derive a Gurson-type yield function for porous single crystals. Because of the widely spread finite-element (FE) implementations of the Gurson model, it woul

Keywords

Limit (mathematics)Yield (engineering)PorosityMathematicsMaterials scienceMathematical analysisComposite material

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