In his 1957 paper, John Milnor introduced link invariants which measure the homotopy class of longitudes a relative to lower central series group. Consequently, these determine quotients This work has driven decades research with profound influence. One Milnor’s original problems remained unsolved: extract similar from transfinite We reformulate and extend in broader setting 3-manifolds, as spe...

In this work, an object-oriented framework FE2000 for parallel large-scale nonlinear dynamic finite element analysis is presented. The parallel substructure method is employed for parallel finite element analysis. An extension of the general sparse matrix package SPARSPAK, an iterative mesh partitioning approach, and a multi-level substructure method are employed and integrated. Several large-s...

The cutting is an important machining technology, in which is belong to nonlinear large deformation, involving material nonlinear, geometry nonlinear and original bug, the thermal energy coupling question, and the nonlinear boundary condition, and so on. For the processing of metal cutting, using the large-scale commercial finite element theory, the coupling finite element model is established ...

ABSTRACT: This paper proposes a modified formulation of the force density method by adopting finite element method procedures and replacing each edge of a 3-node or 4-node membrane element with a linear line element. The membrane element model, not the cable-net model, is used for simultaneous shape finding and load analysis. The derived force density matrix has a banded, symmetric nature to en...

This paper describes an approach to predict the acoustic nearand farfields with minimal computational requirements. The near field flow time dependent pressure history in the flow is predicted from computational fluid dynamics either using readily available finite difference codes or using in house finite element research code based on Gradient Adaptive Transfinite Elements. This pressure histo...