A morphing approach to couple state-based peridynamics with classical continuum mechanics
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ArticleKAUST Department
Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
Date
2016-01-04Online Publication Date
2016-01-04Print Publication Date
2016-04Permanent link to this record
http://hdl.handle.net/10754/592891
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A local/nonlocal coupling technique called the morphing method is developed to couple classical continuum mechanics with state-based peridynamics. State-based peridynamics, which enables the description of cracks that appear and propagate spontaneously, is applied to the key domain of a structure, where damage and fracture are considered to have non-negligible effects. In the rest of the structure, classical continuum mechanics is used to reduce computational costs and to simultaneously satisfy solution accuracy and boundary conditions. Both models are glued by the proposed morphing method in the transition region. The morphing method creates a balance between the stiffness tensors of classical continuum mechanics and the weighted coefficients of state-based peridynamics through the equivalent energy density of both models. Linearization of state-based peridynamics is derived by Taylor approximations based on vector operations. The discrete formulation of coupled models is also described. Two-dimensional numerical examples illustrate the validity and accuracy of the proposed technique. It is shown that the morphing method, originally developed for bond-based peridynamics, can be successfully extended to state-based peridynamics through the original developments presented here.Citation
A morphing approach to couple state-based peridynamics with classical continuum mechanics 2016 Computer Methods in Applied Mechanics and EngineeringPublisher
Elsevier BVAdditional Links
http://linkinghub.elsevier.com/retrieve/pii/S0045782515004302ae974a485f413a2113503eed53cd6c53
10.1016/j.cma.2015.12.024