Crack propagation in brittle material is not only crucial for structural safety evaluation,but also has a wideranging impact on material design,damage assessment,resource extraction,and scientific research.A thorough ...Crack propagation in brittle material is not only crucial for structural safety evaluation,but also has a wideranging impact on material design,damage assessment,resource extraction,and scientific research.A thorough investigation into the behavior of crack propagation contributes to a better understanding and control of the properties of brittle materials,thereby enhancing the reliability and safety of both materials and structures.As an implicit discrete elementmethod,the Discontinuous Deformation Analysis(DDA)has gained significant attention for its developments and applications in recent years.Among these developments,the particle DDA equipped with the bonded particle model is a powerful tool for predicting the whole process of material from continuity to failure.The primary objective of this research is to develop and utilize the particle DDAtomodel and understand the complex behavior of cracks in brittle materials under both static and dynamic loadings.The particle DDA is applied to several classical crack propagation problems,including the crack branching,compact tensile test,Kalthoff impact experiment,and tensile test of a rectangular plate with a hole.The evolutions of cracks under various stress or geometrical conditions are carefully investigated.The simulated results are compared with the experiments and other numerical results.It is found that the crack propagation patterns,including crack branching and the formation of secondary cracks,can be well reproduced.The results show that the particle DDA is a qualified method for crack propagation problems,providing valuable insights into the fracture mechanism of brittle materials.展开更多
By using the basic displacements and stresses caused by a single elastic inclusionand a single crack on infinite plane,the interaction problem between a crack and anelastic inclusion is reduced io solve a set of Cauch...By using the basic displacements and stresses caused by a single elastic inclusionand a single crack on infinite plane,the interaction problem between a crack and anelastic inclusion is reduced io solve a set of Cauchy-type singular integral equation.Based on this result,the singular behaviour of the solution for the inclusion-branchingcrack is analysed theoretically and the oscillating singular interface stress field isobtained. For the separating inclusion-crack problem,the stress intensity factors at thetips and the interface stress of the inclusion are calculated and the results of which aresatisfactory.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.42372310).
文摘Crack propagation in brittle material is not only crucial for structural safety evaluation,but also has a wideranging impact on material design,damage assessment,resource extraction,and scientific research.A thorough investigation into the behavior of crack propagation contributes to a better understanding and control of the properties of brittle materials,thereby enhancing the reliability and safety of both materials and structures.As an implicit discrete elementmethod,the Discontinuous Deformation Analysis(DDA)has gained significant attention for its developments and applications in recent years.Among these developments,the particle DDA equipped with the bonded particle model is a powerful tool for predicting the whole process of material from continuity to failure.The primary objective of this research is to develop and utilize the particle DDAtomodel and understand the complex behavior of cracks in brittle materials under both static and dynamic loadings.The particle DDA is applied to several classical crack propagation problems,including the crack branching,compact tensile test,Kalthoff impact experiment,and tensile test of a rectangular plate with a hole.The evolutions of cracks under various stress or geometrical conditions are carefully investigated.The simulated results are compared with the experiments and other numerical results.It is found that the crack propagation patterns,including crack branching and the formation of secondary cracks,can be well reproduced.The results show that the particle DDA is a qualified method for crack propagation problems,providing valuable insights into the fracture mechanism of brittle materials.
文摘By using the basic displacements and stresses caused by a single elastic inclusionand a single crack on infinite plane,the interaction problem between a crack and anelastic inclusion is reduced io solve a set of Cauchy-type singular integral equation.Based on this result,the singular behaviour of the solution for the inclusion-branchingcrack is analysed theoretically and the oscillating singular interface stress field isobtained. For the separating inclusion-crack problem,the stress intensity factors at thetips and the interface stress of the inclusion are calculated and the results of which aresatisfactory.