This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green's functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic problems are treated in full.
This new edition explains in detail how to introduce the branch cut for the...
This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to th...
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment.
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models w...
The book provides suitable methods for the simulations of boundary value problems of geotechnical installation processes with reliable prediction for the deformation behavior of structures in static or dynamic interaction with the soil.
It summarizes the basic research of a research group from scientists dealing with constitutive relations of soils and their implementations as well as contact element formulations in FE-codes.
Numerical and physical experiments are presented providing benchmarks for future developments in this field.
Boundary value problems have been...
The book provides suitable methods for the simulations of boundary value problems of geotechnical installation processes with reliable prediction f...
This book provides a comprehensive study of cracks situated at the interface of two piezoelectric materials. It discusses different electric boundary conditions along the crack faces, in particular the cases of electrically permeable, impermeable, partially permeable, and conducting cracks. The book also elaborates on a new technique for the determination of electromechanical fields at the tips of interface cracks in finite sized piezoceramic bodies of arbitrary shape under different load types. It solves scientific problems of solid mechanics in connection with the investigation of...
This book provides a comprehensive study of cracks situated at the interface of two piezoelectric materials. It discusses different electric bounda...
This book provides an overview of new mathematical models, computational simulations and experimental tests in the field of biomedical technology, and covers a wide range of current research and challenges.
This book provides an overview of new mathematical models, computational simulations and experimental tests in the field of biomedical technology, and...
The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical bases and results are completely developed along with applications to design problems of laminated anisotropic structures.
The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical...