Thesis (Ph. D.)--University of Wisconsin, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Jeffrey K. Bennighof. Vita. Includes bibliographical references.

Thesis (Ph. D.)--Florida State University, 2005. / Includes vita. Includes bibliographical references (p. 140-144). Also available online via the Florida State University ETD Collection website (http://etd.lib.fsu.edu/).

Thesis (Ph. D.)--University of Texas at Austin, 2006. / Vita. Includes bibliographical references.

Richard H. Lyon. / Includes bibliographical references and indexes.

Over the past few decades, dynamic solid mechanics has become a major field of interest in industrial applications involving crash simulation, impact problems, forging and many others to be named. These problems are typically nonlinear due to large deformations (or geometrical nonlinearity) and nonlinear constitutive relations (or material nonlinearity). For this reason, computer simulations for such problems are of practical importance. In these simulations, the Lagrangian formulation is typically used as it automatically satisfies the mass conservation law. Explicit numerical methods are considered to be efficient in these cases. Most of the numerical methods employed for such simulations are developed from the equation of motion (or momentum balance principle). The use of low-order elements in these numerical methods often exhibits the detrimental locking phenomena in the analysis of nearly incompressible applications, which produces an undesirable effect leading to inaccurate results. Situations of this type are usual in the solid dynamics analysis for rubber materials and metal forming processes. In metal plasticity, the plastic deformation is isochoric (or volume-preserving) whereas, the compressible part is due only to elastic deformation. Recently, a new mixed formulation has been established for explicit Lagrangian transient solid dynamics. This formulation, involving linear momentum, deformation gradient and total energy, results in first order hyperbolic system of equations. Such conservation-law formulation enables stresses to converge at the same rate as velocities and displacements. In addition, it ensures that low order elements can be used without volumetric locking and/or bending difficulty for nearly incompressible applications. The new mixed formulation itself shows a clear advantage over the classical displacement-based formulation, due to its simplicity in incorporating state-of-the-art shock capturing techniques. In this research, a curl-preserving cell centred finite volume computational methodology is presented for solving the first order hyperbolic system of conservation laws on quadrilateral cartesian grids. First, by assuming that the approximation to the unknown variables is constant within each cell. This will lead to discontinuities at cell edges which will motivate the use of a Riemann solver by introducing an upwind bias into the evaluation of the numerical flux function. Unfortunately, the accuracy is severely undermined by an excess of numerical dissipation. In order to alleviate this, it is vital to introduce a linear reconstruction procedure for enhancing the accuracy of the scheme. However the second-order spatial method does not prohibit spurious oscillation in the vicinity of sharp gradients. To circumvent this, a nonlinear slope limiter will then be introduced. It is now possible to evolve the semi-discrete evolutionary system of ordinary equations in time with the aid of the family of explicit Total Variation Diminishing Runge Kutta (TVD-RK) time marching schemes. Moreover, a correction procedure involving minimisation algorithm for conservation of the total angular momentum is presented. To this end, a number of interesting examples will be examined in order to demonstrate the robustness and general capabilities of the proposed approach.

The evaluation of fluid forces on vibrating framed structures in a fluid environment is of current significance in view of the activity in ocean engineering. Accurate knowledge of the fluid forces under conditions of variable separated flow is lacking. In this study an attempt has been made to find a general method of evaluation of fluid forces on cylinders for variable flow, using published data from tests of constant velocity flow, uniformly accelerated flow and wave motion. The parameters that appear to govern the variable flow forces are discussed and models for relating force magnitudes to these parameters are suggested. The dynamic response of framed structures in an ocean environment has not been investigated except for linear sinusoidal wave motion in deep water conditions. The response of shallow water structures to various types of wave forces, as well as to earthquake excitation, has been analysed numerically here, taking into account the interaction between the structure and fluid motions. The effect of the mass and drag parameters on the structure response has been studied. Governing load cases for the design of framed structures have been related to structural period and water depth. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

no abstract provided by author / Master of Engineering

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