We present a new numerical approach for wave induced dynamic fracture. The method is based on a discontinuous Galerkin approximation of the first-order hyperbolic system for elastic waves and a phase-field approximation of brittle fracture driven by the maximum tension. The algorithm is staggered in time and combines an implicit midpoint rule for the wave propagation followed by an implicit Euler step for the phase-field evolution. At fracture, the material is degraded, and the waves are reflected at the diffusive interfaces. Two and three-dimensional examples demonstrate the advantages of the proposed method for the computation of crack growth and spalling initiated by reflected and superposed waves.

我们提出了一种新的波浪致动力断裂数值方法。该方法基于弹性波一阶双曲系统的不连续伽辽金近似和最大张力驱动的脆性断裂的相场近似。该算法在时间上交错并结合了波传播的隐式中点规则，然后是相场演化的隐式欧拉步骤。断裂时，材料降解，波在扩散界面反射。二维和三维示例证明了所提出的方法在计算由反射波和叠加波引发的裂纹扩展和剥落方面的优势。