Energy based collocation method to predict progressive damage behavior of imperfect composite plates under compression

Abstract A new collocation methodology is presented to predict failure and progressive damage behavior of composite plates in this paper. The present work deals with composite plates containing initial geometric imperfections and different boundary conditions under uniaxial in-plane compressive load. In the present study, the domain is discretized with Legendre-Gauss-Lobatto nodes and the approximation of displacement fields is performed by Legendre Basis Functions (LBFs). The onset of damage and damage evolution are predicted by Hashin’s failure criteria and by proposed material degradation models. Three geometric degradation models are also assumed to estimate the degradation zone around the failure location which are named complete, region and node degradation models.

摘要 本文提出一种新型配点法，用于预测复合材料薄板的失效与渐进损伤行为。本研究针对含初始几何缺陷、具备不同边界条件的复合材料薄板，开展单轴面内压缩载荷作用下的力学分析。本研究采用勒让德-高斯-洛巴托（Legendre-Gauss-Lobatto）节点对求解域进行离散，并通过勒让德基函数（Legendre Basis Functions, LBFs）对位移场进行近似。采用哈辛失效准则与本文提出的材料退化模型，预测损伤起始与损伤演化过程。此外，本文还提出三类几何退化模型——完全退化模型、区域退化模型与节点退化模型，用于估算失效位置周围的退化区域。