Author: M. ZivPublisher:
ISBN:
Category :
Languages : en
Pages : 94
Book Description
Multi-dimensional Wave Propagation in Solids Due to Impact Loading by the Method of Characteristics
Author: M. ZivMulti-Dimensional Wave Propagation in Solids Due to Impact Loading by the Method of Characteristics. Case 1. Computational Method for Two-Dimensional Waves in a Linear Elastic Solid
Author: Moche ZivPublisher:
ISBN:
Category :
Languages : en
Pages : 67
Book Description
A computational method is presented for the solution of multi-dimensional hyperbolic partial differential equations governing the dynamic deformation of solids. The method is based on characteristics formulation of the hyperbolic differential equations. Thus generated waves are located in the medium and the differential equations holding along these waves are obtained. The algorithm consists of a new method which evaluates the unknown variables along the leading wave and then couples the first generator to the motion behind it. The unknowns along the leading wave are resolved by means of kinematic and dynamic conditions existing across this wave. The entire multi-dimensional solution domain is then linked to the leading wave by the method of characteristics. The mathematical avenues used to develop this computational method are potentially capable of solving multi-dimensional wave problems in various types of solids. As a first step in the report, the described technique is confined to field equations defining the deformation of a linear elastic solid in two-space and time independent variables. (Author).
Scientific and Technical Aerospace Reports
Author: The Shock and Vibration Digest
Author: Government Reports Announcements
Author: Government Reports Announcements & Index
Author: Applied mechanics reviews
Author: Government Reports Index
Author: Wave Propagation in Solids
Author: Julius MiklowitzPublisher:
ISBN:
Category : Science
Languages : en
Pages : 200
Book Description
Microstructured Materials: Inverse Problems
Author: Jaan JannoPublisher: Springer Science & Business Media
ISBN: 364221584X
Category : Mathematics
Languages : en
Pages : 161
Book Description
Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.