Shuo Yang¹, Yongxing Shen^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09207

Abstract Fatigue refers to repeated cyclic loading well below the ultimate failure stress of the structure. It accounts for most mechanical failures, and thus deserves serious consideration in engineering practice. Phase field approach is a powerful tool for fracture simulation, which tracks arbitrary and complicated crack paths without extra criterion. This approach has been widely applied to various cracking problems, such as shell fracture, beam fracture , etc. The phase field approach for fracture has been adapted for fatigue fracture in recent years. Due to the mesh requirement of the phase field approach and the large amount of load steps of… More >

Zongwu Niu¹, Yongxing Shen^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09037

Abstract The phase field approach has powerful abilities to simulate complicated fracture behaviors. However, the requirement of fine mesh near cracks leads to high computational cost, especially for dynamic cases in which the critical time step is restricted by the smallest element size according to the CFL stability condition. In this work, the asynchronous variational integrator (AVI) is used to alleviate the high computational cost in the case of dynamic brittle fracture. The AVI is derived from the discrete Hamilton’s principle with asynchronous temporal discretization, which allows each element in the mesh to have its own local time step that is… More >

Yongxing Shen^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.25, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09314

Abstract The phase field approach to fracture originates from the variational formulation of brittle fracture proposed by Francfort and Marigo. The regularized version of the latter formulation by Bourdin et al. is also dubbed the phase field approach to fracture. Compared with explicit crack methods such as the extended finite element method, the phase field approach to fracture does not require additional criteria for crack simulation and can naturally simulate complex fracture behaviors such as crack initiation, propagation, branching and merging with a fixed mesh and fixed shape functions. This work examines the energy relations in the phase field approach to… More >