Abstract
We proposed a bond-based peridynamic lattice model for simulating dynamic brittle fracture of 2D composite lamina. Material orthogonal anisotropy was represented by rotating topological lattice structure instead of fiber directions. Analytical derivation and numerical implementation of the proposed model were given based on energy equivalence. Benchmark composite lamina tests are used to validate the capability of modeling dynamic fracture of the method. The peridynamic lattice model is found to be robust and successful in modeling dynamic brittle fracture of 2D composite lamina and can be extended to composite laminates by applying 3D lattice structure.
Highlights
Fiber-reinforced composite materials [1, 2] have been widely used in many primary structural components in various fields, such as aerospace, naval architecture, and automobile, due to their outstanding material properties like high strength-to-weight ratio and high stiffness-to-density ratio
To take advantage of high computation efficiency and direction sensitive of the lattice model and extend its application to dynamic and macrolevel problems, it is suitable to transplant a lattice model into a new dynamic model, for example, a hybrid lattice particle model by Wang [23] and the state-based peridynamic lattice model (SPLM) by Gerstle et al [17, 18], which has been applied to the strength and failure prediction of concrete structures
Numerical Implementation and Validation e peridynamic model and lattice model (PDLM) can be still regarded to be a meshless particle method as bond-based PD [7], which discretizes the material into a series of arranged material points. ese material points contain all physical information of the material
Summary
Fiber-reinforced composite materials [1, 2] have been widely used in many primary structural components in various fields, such as aerospace, naval architecture, and automobile, due to their outstanding material properties like high strength-to-weight ratio and high stiffness-to-density ratio. To take advantage of high computation efficiency and direction sensitive of the lattice model and extend its application to dynamic and macrolevel problems, it is suitable to transplant a lattice model into a new dynamic model, for example, a hybrid lattice particle model by Wang [23] and the state-based peridynamic lattice model (SPLM) by Gerstle et al [17, 18], which has been applied to the strength and failure prediction of concrete structures They did not explore the influence of lattice structure and extend the method to composite materials. E paper is organized as follows: we firstly reviewed the bond-based PD laminate theory in Section 2; the PD lattice model for 2D composite lamina was proposed in Section 3; the corresponding crack propagation experiment was introduced in Section 4; the numerical validation scheme was implemented in a Fortran code, and benchmark problems including one elastic verification problem and two fracture problems of composite lamina were used to verify the model in Section 5; in the end of this paper, some conclusions were drawn based on the comparison of PD results with those of experiments or analytics
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