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Mesoscale Models and Numerical Algorithms for Fracture of Solids

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dc.contributor.advisor Samulyak, Roman V, Glimm, James en_US
dc.contributor.author Wei, Hongren en_US
dc.contributor.other Department of Applied Mathematics and Statistics en_US
dc.date.accessioned 2013-05-22T17:35:47Z
dc.date.accessioned 2015-04-24T14:47:37Z
dc.date.available 2013-05-22T17:35:47Z
dc.date.available 2015-04-24T14:47:37Z
dc.date.issued 2012-08-01 en_US
dc.identifier Wei_grad.sunysb_0771E_11119 en_US
dc.identifier.uri http://hdl.handle.net/1951/59912 en_US
dc.identifier.uri http://hdl.handle.net/11401/71454 en_US
dc.description 95 pgs en_US
dc.description.abstract A new mass conservative mesoscale model for the simulation of fracture of solid materials has been developed. Our representation of solids by spring networks contains two degrees of freedom necessary to match real material properties and exhibits a stable Poisson ratio. The algorithm is based on the energy minimization of the network of triangular springs with critical strain and splitting of overstressed bonds and connected to them nodes ensuring the conservation of mass during the crack evolution. An algorithm to resolve the mesh folding and overlapping for the simulation of compressed materials has been developed by introducing special energy penalty terms. The main emphasis of the research is on the study of brittle fracture but elasto-plastic models for springs have also been developed for the simulation of plastic deformations with limited shear bands. Two regimes of the brittle fracture have been onsidered: adiabatically slow deformation and breakup and instantaneously fast deformation and the formation and propagation of cracks in stressed materials. Parallel software for the fracture of brittle materials under strain has been developed with the integration of packages TAO and Global Arrays. A Schwartz-type overlapping domain decomposition and the corresponding acceleration techniques have also been studied. Three different visualization techniques have been developed to capture details of fractured zones in 3D. The software has been applied to the simulation of fracture of solids under slow stretching deformations, the rapid disintegration of highly tempered glasses in the phenomenon called the Prince Rupert Drop, and the fracture of thin brittle discs hit by high velocity projectiles. The bifurcation of the fracture dynamics from the growth of the comminuted zone to the propagation of isolated radial cracks, typical for the fracture of glass sheets and thin ceramic plates hit by projectiles, has been reproduced in our numerical experiments and scaling studies involving the change of material properties and projectile velocity have been performed. The fracture model has also been used in a coupled multiscale simulation of the nuclear fuel rod failure within a study of nuclear reactor safety issues. en_US
dc.description.sponsorship This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. en_US
dc.format Monograph en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Applied mathematics en_US
dc.subject.other brittle material, fracture visualization, mesh fracture, numerical algorithms, numerical simulation, parallelization en_US
dc.title Mesoscale Models and Numerical Algorithms for Fracture of Solids en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Jiao, Xiangmin en_US
dc.contributor.committeemember Simos, Nikolaos en_US

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