there are mainly two methods of deep drawing analysis; experimental and analytical/numerical. experimental analysis can be useful in analyzing the process to determine the process parameters that produce a defect free product, and the analytical/numerical modeling can be used to model and analyze the process through all stages of deformation. this approach is less time consuming and more econom...

A STUDY OF IMMERSED BOUNDARY METHOD IN A RIBBED DUCT FOR THE INTERNAL COOLING OF TURBINE BLADES Long He Abstract In this dissertation, Immersed Boundary Method (IBM) is evaluated in ribbed duct geometries to show the potential of simulating complex geometry with a simple structured grid. IBM is first investigated in well-accepted benchmark cases: channel flow and pipe flow with circular crossse...

A method of Proctor [4] realizes the set of arbitrary plane partitions in a box and the set of symmetric plane partitions as bases of linear representations of Lie groups. We extend this method by realizing transposition and complementation of plane partitions as natural linear transformations of the representations, thereby enumerating symmetric plane partitions, self-complementary plane parti...

Until recently, two surface-dwelling species of multi-ribbed brook salamanders (i.e., the metamorphic Eurycea multiplicata griseogaster [Graybelly Salamander], and the strictly paedomorphic E. tynerensis [Oklahoma Salamander]) were recognized as living in the Missouri Ozarks. The current understanding is that a single species (Oklahoma Salamander) is resident in the Ozarks, and that this specie...

This paper is motivated by the real symplectic isotopy problem : does there exist a nonsingular real pseudoholomorphic curve not isotopic in the projective plane to any real algebraic curve of the same degree? Here, we focus our study on symmetric real curves on the projective plane. We give a classification of real schemes (resp. complex schemes) realizable by symmetric real curves of degree 7...

We give a lattice path interpretation for totally symmetric self-complementary plane partitions. This is a first step in solving the long standing problem of enumerating such plane partitions. Another outstanding problem in enumerative combinatorics is the search for a bijection between alternating sign matrices and totally symmetric self-complementary plane partitions. From the lattice path in...

Geometrical and topological properties of the quasi-plane Szekeres model and of the plane symmetric dust model are discussed. Some related comments on the quasihyperbolical model are made. These properties include: (1) The pattern of expansion in the plane symmetric case, and the Newtonian model that imitates it; (2) The possibility of toroidal topology of the t = const sections in the plane sy...