Journal article
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis
International journal of mechanical sciences, Vol.94-95, pp.111-122
05/2015
Handle:
https://hdl.handle.net/2376/107865
Abstract
An extended bond-based peridynamic (PD) approach is presented for quasi-static mechanical behavior and brittle failure analysis of materials and structures. A local artificial damping is introduced into the peridynamic equations of motion, and a step-by-step loading method and a non-equilibrium criterion are employed to calculate the elastic response quantitatively, simulate the crack initiation and propagation and predict the extreme failure load of structures. The effect of the magnitude of the local damping on the accuracy and efficiency of elastic calculation is investigated. In the proposed model, another important feature lies in the micromodulus of the pair-wise bond, which is described as a continuous function of the distance between two particles within the material horizon and is demonstrated to be more accurate when compared to the earlier PD models using a fixed stiffness constant to describe the interaction of particles. The qualitative and quantitative validity of the approach is established through simulating the mechanical response and fracture of a cantilever concrete beam, including the whole process from the earlier elastic deformation stage to crack initiation and propagation, and making comparisons to the analytical and other numerical data. To further demonstrate the capabilities of the proposed model, the crack propagation and fracture mechanism of a cantilever concrete beam with pre-existing notch is studied, and the effect of the notch location on the extreme failure load and fracture mode of the structure is examined.
●Extended bond-based peridynamics for quasi-static behavior and brittle fracture.●The micromodulus of the pair-wise bond described as a continuous function.●A local damping introduced in the peridynamic equations of motion.●A step-by-step loading method and a non-equilibrium criterion in computation.●Capable of quantitative simulation of the crack initiation and propagation.
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Details
- Title
- An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis
- Creators
- Dan Huang - Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR ChinaGuangda Lu - Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR ChinaPizhong Qiao - State Key Laboratory of Ocean Engineering and School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
- Publication Details
- International journal of mechanical sciences, Vol.94-95, pp.111-122
- Academic Unit
- Civil and Environmental Engineering, Department of
- Publisher
- Elsevier Ltd
- Identifiers
- 99900547630701842
- Language
- English
- Resource Type
- Journal article