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- W4200350629 abstract "We apply a nonlinear-nonlocal field theory for numerical calculation of quasistatic fracture. The model is given by a regularized nonlinear pairwise (RNP) potential in a peridynamic formulation. The potential function is given by an explicit formula with and explicit first and second derivatives. This fact allows us to write the entries of the tangent stiffness matrix explicitly thereby saving computational costs during the assembly of the tangent stiffness matrix. We validate our approach against classical continuum mechanics for the linear elastic material behavior. In addition, we compare our approach to a state-based peridynamic model that uses standard numerical derivations to assemble the tangent stiffness matrix. The numerical experiments show that for elastic material behavior our approach agrees with both classical continuum mechanics and the state-based model.The fracture model is applied to produce a fracture simulation for a ASTM E8 like tension test. We conclude with an example of crack growth in a pre-cracked square plate. For the pre-cracked plate, we investigated {it soft loading} (load in force) and {it hard loading} (load in displacement). Our approach is novel in that only bond softening is used as opposed to bond breaking. For the fracture simulation we have shown that our approach works with and without initial damage for two common test problems." @default.
- W4200350629 created "2021-12-31" @default.
- W4200350629 creator A5006527240 @default.
- W4200350629 creator A5040697039 @default.
- W4200350629 date "2022-04-26" @default.
- W4200350629 modified "2023-09-30" @default.
- W4200350629 title "Quasistatic Fracture using Nonlinear-Nonlocal Elastostatics with Explicit Tangent Stiffness Matrix" @default.
- W4200350629 doi "https://doi.org/10.31224/osf.io/3je6b" @default.
- W4200350629 hasPublicationYear "2022" @default.
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