Elasticity parallel finite element

Parallel finite element computations have been developed for a number of years mostly for elastic solids and structures. The static domain decomposition (DD) methodology is currently used almost exclusively for decomposing such elastic finite element domains in subdomains. This subdivision has two main purposes, namely (a) to distribute element computations to CPUs in an even manner and (b) to distribute system of equations evenly to CPUs for maximum efficiency in solution process. 

The elastic-plastic parallel finite element computational problem... 

In this paper, an algorithm, named the Plastic Domain Decomposition (PDD), for parallel elastic-plastic finite element computations was presented. Presented was also a parallel scalability study, that shows how PDD scales quite well with increase in a number of compute nodes. More importantly, presented details of PDD reveal that scalability is assured for inhomogeneous, multiple generation parallel computer architecture, which represents majority of currently available parallel computers. 

Fiber-reinforced systems have been modeled with use of an MC method to place parallel fibers into a polymer matrix, with a finite element algorithm (FEA) then being used to compute elastic properties (274). A generic meshing algorithm for use in FEA studies of nanoparticle reinforcement of polymers has been developed (275) and applied to the calculation of mechanical properties of whisker and platelet filled systems. The method should be applicable to void-containing low dielectric materials of such great utility in the semiconductor industry. 

It may be useful to the reader to consider as an example the work by Adams et al (1978c) and some of their hitherto unpublished results. They used finite-element methods to examine the stresses in high-performance composites in symmetrical lap joints with parallel, bevelled, scarfed and stepped adherends. The composite adherends were assumed to be linearly elastic type II carbon fibre reinforced epoxy composites with a 60% fibre volume fraction. The mechanical properties of this material are given in Table 3. 

Figure 3.18e shows the effective force law (force versus displacement) between two parallel dimers with aspect ratio = 1.3 undergoing compression for the micromechanical model in which (1) lobe interactions are multiply counted or (2) the interaction potential is given by Equation 3.15. The two force laws are the same as long as overlaps between lobes have not merged, or < 0.021 for the configuration in Figure 3.18a. Beyond Sm, the two force laws differ. The force law based on the total area of overlap converges to linear behavior f 5 more quickly than the one that multiply counts lobe interactions, for example, it is not sensitive to the formation of the fourth lobe contact at 8/a = 84/a = 0.075. In future studies, these results can be compared to finite element analyses of linear elastic particles with complex shapes.

Assumptions A uniform cylindrical peg has been selected. It is assumed that the peg itself is rigid and undergoes negligible elastic deformation during the insertion process. This assumption will be established to be valid during the finite element study to be reported separately. It is further stipulated that coefficient of friction (/x) between the gripper jaws and the peg is the same at each point of contact. The insertion is attempted when the axes of the peg and hole are parallel/co-axial. A double v-block jaw configuration has been selected after considerable deflection analysis of other forms. 

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