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首頁> 外文OA文獻 >A damage to crack transition model accounting for stress triaxiality formulated in a hybrid non-local implicit discontinuous Galerkin - cohesive band model framework
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A damage to crack transition model accounting for stress triaxiality formulated in a hybrid non-local implicit discontinuous Galerkin - cohesive band model framework

機譯：混合非局部隱式不連續(xù)Galerkin-內(nèi)聚能帶模型框架中考慮到應(yīng)力三軸性的裂紋轉(zhuǎn)變模型的損傷。

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Modelling the entire ductile fracture process remains a challenge. On the one hand, continuous damage models succeed in capturing the initial diffuse damage stage but are not able to represent discontinuities or cracks. On the other hand, discontinuous methods, as the cohesive zones, which model the crack propagation behaviour, are suited to represent the localised damaging process. However, they are unable to represent diffuse damage. Moreover, most of the cohesive models do not capture triaxiality effect.In this paper, the advantages of the two approaches are combined in a single damage to crack transition framework. In a small deformation setting, a non-local elastic damage model is associated with a cohesive model in a discontinuous Galerkin finite element framework. A cohesive band model is used to naturally introduce a triaxiality-dependent behaviour inside the cohesive law. Practically, a numerical thickness is introduced to recover a 3D-state, mandatory to incorporate the in-plane stretch effects. This thickness is evaluated to ensure the energy consistency of the method and is not a new numerical parameter. The traction-separation law is then built from the underlying damage model.
機譯：對整個韌性斷裂過程進行建模仍然是一個挑戰(zhàn)。一方面，連續(xù)損傷模型可以成功捕獲初始彌散損傷階段，但不能表示不連續(xù)或裂縫。另一方面，不連續(xù)的方法，如用于模擬裂紋擴展行為的內(nèi)聚區(qū)，適用于表示局部破壞過程。但是，它們不能代表彌散性損壞。而且，大多數(shù)內(nèi)聚模型不能捕獲三軸效應(yīng)。本文將兩種方法的優(yōu)點結(jié)合在一個單一的裂紋過渡框架損傷中。在較小的變形設(shè)置中，非局部彈性損傷模型與不連續(xù)的Galerkin有限元框架中的內(nèi)聚模型相關(guān)聯(lián)。內(nèi)聚能帶模型用于自然地將三軸性相關(guān)行為引入內(nèi)聚律。實際上，引入了數(shù)字厚度以恢復(fù)3D狀態(tài)，這是合并平面內(nèi)拉伸效果所必需的。評估該厚度以確保方法的能量一致性，而不是新的數(shù)值參數(shù)。然后從潛在的損壞模型中建立牽引力分離法則。

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