Peridynamic modelling of deformation field on isotropic medium
Akalın, Çağdaş (2017) Peridynamic modelling of deformation field on isotropic medium. [Thesis]
Designing light weight structural parts especially in the areas of aerospace, marine and automotive industries has become a must over the years to reduce energy consumption of structures and systems. To this end, numerical models enabling realistic and accurate results for deformations, damage initiations and propagations inside solid mediums constitutes a corner stone for failure prediction since they provide exibility in optimization of design constraints such as topology, material type and reduction of structural weight. Within the framework of continuum mechanics, classical approaches are well studied however they include the restriction of local interactions for nite element methods since classical theory of continuum mechanics assumes that each individual particle interacts with those locating in their immediate vicinity. Due to the inherent formulation of classical theory of continuum mechanics, in case of continuously transferred thermal and mechanical loadings, the governing laws that they include partial di erential equations become unde ned in the presence of discontinuities inside solid mediums. A study in applied mechanics called peridynamic theory introduces a new modelling concept of non-local interactions for solid structures. To be able to avoid unde ned equations of associated problems, the peridynamic theory of non-local continuum mechanics replaces the spatial partial di erentiations with integro-di erential equations. In the content of this study, deformation eld of an isotropic plate under the e ect of uni-axial stretching has been investigated by means of this relatively new approach of non-local continuum mechanics.
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