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| A bond-based corresponding model for peridynamics |
| Received:August 17, 2019 Revised:December 04, 2019 |
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| DOI：10.7511/jslx20190817001 |
| KeyWord:peridynamics deformation tensor dynamic fracture numerical simulation |
| Author | Institution |
| 陈壮 |
武汉大学 土木建筑工程学院, 武汉 |
| 万冀 |
武汉大学 土木建筑工程学院, 武汉 |
| 楚锡华 |
武汉大学 土木建筑工程学院, 武汉 ;大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| Traditional bond-based peridynamics has defects in its fixed Poisson's ratio.To solve this problem,a state-based peridynamics is developed.In non-ordinary state-based peridynamics,the nonlocal deformation tensor is defined,and the pairwise force can be obtained from the traditional stress tensor.However,the computational cost of state-based peridynamics is higher than the bond-based peridynamics.Combining the advantages of state-based peridynamics and bond-based peridynamics,this study proposed a new bond-based corresponding peridynamics.Different from the non-local deformation tensor in non-ordinary state-based peridynamics,bond-based corresponding peridynamics focuses on the bond deformation tensor.Similar to the polar decomposition of deformation tensor,bond deformation is decomposed into length changes and rotation changes.As the deformation tensor is defined,strain and stress of bonds are obtained.Further,the pairwise force through the bond is obtained by strain and stress.Bond-based corresponding peridynamics has no restriction in choices of physical constants,and auxiliary parameters are not needed in calculating the pairwise forces.Numerical examples and theoretical analysis prove the validation of bond-based corresponding peridynamics. |
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