Incorporation of gradient-enhanced microplane damage model into isogeometric analysis

Abstract

Purpose This study aims to develop a new analysis approach devised by incorporating a gradient-enhanced microplane damage model (GeMpDM) into isogeometric analysis (IGA), which shows computational stability and capability in accurately predicting crack propagations in structures with complex geometries. Design/methodology/approach For the non-local microplane damage modeling, the maximum modified von-Mises equivalent strain among all microplanes is regularized as a representative quantity. This characterization implies that only one additional governing equation is considered, which improves computational efficiency dramatically. By combined use of GeMpDM and IGA, quasi-static and dynamic numerical analyses are conducted to demonstrate the capability in predicting crack paths of complex geometries in comparison to FEM and experimental results. Findings The implicit scheme with the adopted damage model shows favorable numerical stability and the numerical results exhibit appropriate convergence characteristics concerning the mesh size. The damage evolution is successfully controlled by a tension-compression damage factor. Thanks to the advanced geometric design capability of IGA, the details of crack patterns can be predicted reliably, which are somewhat difficult to be acquired by FEM. Additionally, the damage distribution obtained in the dynamic analysis is in close agreement with experimental results. Originality/value The paper originally incorporates GeMpDM into IGA. Especially, only one non-local variable is considered besides the displacement field, which improves the computational efficiency and favorable convergence characteristics within the IGA framework. Also, enjoying the geometric design ability of IGA, the proposed analysis method is capable of accurately predicting crack paths reflecting the complex geometries of target structures.

Crack phase‐field enhanced finite cover method for dynamic fracture at finite strain

“…For instance, the cohesive zone model can be utilized to properly realize the releasing force when the crack opens. In this context, several damage models 12,21,75,76 that are equipped with the cohesive description of fracture can be chosen. These modifications are left to future work, but it can nevertheless be concluded that the developed scheme can reproduce several typical dynamic fracture patterns qualitatively observed in the experiments.…”

Concrete failure based on a localizing gradient‐enhanced damage formulation coupled with plasticity

“…This has motivated a different formulation -the so-called implicit gradient damage model in [12], where the mathematical reformulation is achieved by calculating the second order gradient of the nonlocal quantity, and further neglecting higher order gradient terms of the local quantity. The implicit gradient damage has been extended to numerous models, including anisotropic damage in for example [13], and microplane damage in for example [14,15]. Despite the straightforward implementation, the implicit gradient damage model quite often leads to a spuriously broadening damage profile.…”