A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis

作者：Tran Quoc Thai^*; Rabczuk Timon; Bazilevs Yuri; Meschke Guenther

来源：Computer Methods in Applied Mechanics and Engineering, 2016, 304: 584-604.

DOI：10.1016/j.cma.2016.02.031

• Gradient enhanced damage
• Isogeometric analysis
• Higher-order functions
• Stress-level dependent damage model

The micro-damage associated with diffuse fracture processes in quasi-brittle materials can be described by continuum damage mechanics. In order to overcome the mesh dependence of local damage formulations, non-local and gradient-enhanced approaches are often employed. In this manuscript, a higher-order stress-based gradient-enhanced formulation is proposed, which exploits the higher-order continuity of B-spline functions in isogeometric analysis (IGA). The proposed formulation does not require the decomposition of the fourth-order model into two second-order models. Two numerical examples are presented to demonstrate the performance of the formulation and to compare the obtained solutions with results from conventional gradient-enhanced damage formulation.

• 出版日期2016-6-1