منابع مشابه
Multiscale Analysis of Heterogeneous Media in the Peridynamic Formulation
A methodology is presented for investigating the dynamics of heterogeneous media using the nonlocal continuum model given by the peridynamic formulation. The approach presented here provides the ability to model the macroscopic dynamics while at the same time resolving the dynamics at the length scales of the microstructure. Central to the methodology is a novel two-scale evolution equation. Th...
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In most sheet-metal forming processes a large part of the deforming material exhibits stretch-dominant characteristics and the bending effect is found to exist only in a limited portion of the total deforming region. Thus the use of shell or continuum elements for the whole region is not economic. A selective membrane/shell (M/S) scheme is proposed which combines the layered degenerated shell e...
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متن کاملA peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
We introduce a multidimensional peridynamic formulation for transient heat-transfer. The model does not contain spatial derivatives and uses instead an integral over a region around a material point. By construction, the formulation converges to the classical heat transfer equations in the limit of the horizon (the nonlocal region around a point) going to zero. The new model, however, is suitab...
متن کاملKinetics of phase transformations in the peridynamic formulation of continuum mechanics
We study the kinetics of phase transformations in solids using the peridynamic formulation of continuum mechanics. The peridynamic theory is a nonlocal formulation that does not involve spatial derivatives, and is a powerful tool to study defects such as cracks and interfaces. We apply the peridynamic formulation to the motion of phase boundaries in one dimension. We show that unlike the classi...
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ژورنال
عنوان ژورنال: Procedia Structural Integrity
سال: 2020
ISSN: 2452-3216
DOI: 10.1016/j.prostr.2020.10.048