Bio: G.E. Tupholme is an academic researcher from University of Dundee. The author has contributed to research in topics: Pulse (physics) & Circular surface. The author has an hindex of 1, co-authored 1 publications receiving 7 citations.
TL;DR: In this article, the Laplace transforms of the displacement components of an axisymmetrical poloidal pulse were derived for a semi-infinite, homogeneous, isotropic elastic solid by applying a uniform time-dependent normal pressure over a circular portion of the surface of the half-space.
TL;DR: In this paper, an earthquake source is simulated as a simple finite source, and the transient response of the surface displacement of an elastic half space due to the above internal source is calculated, using a series of transformations, followed by the traditional Cagniard-de Hoop technique.
Abstract: An earthquake source has been simulated as a simple finite source, i.e., normal pressure acting over an inclined fault plane. The transient response of the surface displacement of an elastic half space due to the above internal source is calculated. A series of transformations, followed by the traditional Cagniard–de Hoop technique, are used to compute the transient response. Various wave arrivals are discussed. Numerical computations bring out the special character of the finite source vis-a-vis the point source. The originality of the paper lies in the fact that for the first time an exact computation of the surface response due to an inclined finite source has been computed by Cagniard’s approach.
TL;DR: In this article, the Cagniard De-Hoop technique was used to generate a pulse in an elastic half space by impulsive normal pressure over a circular area on the surface.
••06 Dec 2019
TL;DR: Linear and Non-Linear Deformations of Elastic Solids as discussed by the authors aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics.
Abstract: Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
TL;DR: In this paper, the residual variable method (RVM) is used to obtain exact closed-form solutions of the wave propagation problems in an infinite, elastic medium with and without a shell embedment.
Abstract: A spherical cavity in an infinite, elastic medium with and without a shell embedment is subjected to axisymmetric, non-torsional surface loads in the radial and meridional directions. The so-called Residual Variable Method (RVM) is used to obtain exact, closed-form solutions of the wave propagation problems. Some representative numerical results are presented graphically for the stresses created in two realistic loading situations.
TL;DR: In this paper, a displacement field is obtained by the use of Cagniard-De-Hoop technique and different wave fronts expected are identified and nature of approximate form of displacement near wave fronts are discussed.