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贾斐, 杨成鹏, 宋远翔. 各向异性复合材料强度失效判据综述. 力学学报, 2024, 56(4): 1-19. DOI: 10.6052/0459-1879-23-507
引用本文: 贾斐, 杨成鹏, 宋远翔. 各向异性复合材料强度失效判据综述. 力学学报, 2024, 56(4): 1-19. DOI: 10.6052/0459-1879-23-507
Jia Fei, Yang Chengpeng, Song Yuanxiang. Review on strength failure criteria of anisotropic composite materials. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(4): 1-19. DOI: 10.6052/0459-1879-23-507
Citation: Jia Fei, Yang Chengpeng, Song Yuanxiang. Review on strength failure criteria of anisotropic composite materials. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(4): 1-19. DOI: 10.6052/0459-1879-23-507

各向异性复合材料强度失效判据综述

REVIEW ON STRENGTH FAILURE CRITERIA OF ANISOTROPIC COMPOSITE MATERIALS

  • 摘要: 失效判据在复合材料的渐进损伤模拟和极限强度预测中具有极其重要的意义. 针对各向异性复合材料的损伤-破坏问题, 根据理论架构与发展脉络, 对现有失效判据进行了分类汇总和全面综述, 重点总结了破坏模式无关判据和破坏模式相关判据, 分析了基于破坏面假设的相关理论成果, 阐述了基于应力不变量进行判据构建的基本理论、方法和模型, 并论述了基于应变能和基于损伤参量的两类失效判据. 研究表明, 各向异性复合材料强度理论发展的基础和主线仍然是二次应力判据, 高阶唯象失效判据的合理性和适用性尚需验证; 能量判据和损伤判据对于非线性-准脆性复合材料显示出了合理性和适用性, 但表达式较为复杂. 在深入分析研究的基础上, 对复合材料强度理论的发展趋势进行了展望, 提出了“损伤-断裂协同理论”这一重点与难点方向, 以期对复合材料及其结构的设计、评估与应用提供更有价值的参考.

     

    Abstract: Failure criteria are of great importance in progressive damage simulation and ultimate strength prediction of composite materials. Towards the damage-failure problem of anisotropic composites, the existing failure criteria are comprehensively classified and summarized according to model architecture and development venation, with focus on the failure-mode-independent and failure-mode-dependent failure criteria. Meanwhile, the theoretical models based on the action-plane assumption were analyzed. Moreover, the basic theories and methods for constructing stress-invariant-based criteria were described, and the resultant models were presented. Finally, the other two types of failure criteria, i.e., strain energy criteria and damage-based criteria were discussed. The investigation shows that the rationality and applicability of the higher-order phenomenological failure criteria still need to be verified, and the foundation and main direction of the strength theory development for anisotropic composites is still the quadratic stress criterion; the energy criterion and the damage criterion show rationality and applicability for nonlinear and quasi-brittle composites, but their expressions are more complicated. On the basis of in-depth analysis and research, the development trend of strength theory of composites is prospected, and an important and difficult direction of "damage-fracture synergistic theory" is put forward, with a view to providing more valuable references for the design, evaluation and application of composites and their structures.

     

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