Numerical modelling of the deformation of elastic material by the TLM method

Langley, Philip (Engineer)

Abstract

The transmission line matrix (TLM) method is a numerical tool for the solution of wave and diffusion type equations. The application of TLM to physical phenomena such as heat flow and electromagnetic wave propagation is well established. A previous attempt to apply TLM models to the area of elastic wave propagation and elastic deformation had limited success. The work of this thesis extends the application base of TLM to the area of elastic deformation modelling and validates the model for several two-dimensional situations. In doing this it has been necessary to develop new nodal structures which facilitate the scaling of differential coefficients and incorporation of cross derivatives. Nodal structures which allow the modelling of two and three-dimensional, and anisotropic, elastic deformation are described.

The technique is demonstrated by applying the elastic deformation model to several elastic problems. These include two-dimensional isotropic models and models of anisotropic elastic deformation. Provision is also made for the application of various boundary conditions which include displacement, force and frictional boundaries.

Citation

Langley, P. (. (1997). Numerical modelling of the deformation of elastic material by the TLM method. (Thesis). University of Hull. Retrieved from https://hull-repository.worktribe.com/output/4216181

• Thesis Type: Thesis
• Deposit Date: Jan 13, 2015
• Publicly Available Date: Feb 23, 2023
• Keywords: Electronic engineering
• Public URL: https://hull-repository.worktribe.com/output/4216181
• Additional Information: Department of Electronic Engineering, The University of Hull
• Award Date: Jan 1, 1997