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portada Mathematical Problems in Linear Viscoelasticity
Type
Physical Book
Publisher
Author
Collection
Studies in Applied and Numerical Mathematics
Year
2006
Language
English
Pages
212
Format
Hardcover
Dimensions
22.9x15.2 cm
ISBN13
9780898712667

Mathematical Problems in Linear Viscoelasticity

Mauro Fabrizio;Angelo Morro (Author) · SIAM - Society for Industrial and Applied Mathematics · Hardcover

Mathematical Problems in Linear Viscoelasticity - Mauro Fabrizio;Angelo Morro

New Book Imported to South Africa
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Synopsis "Mathematical Problems in Linear Viscoelasticity"

A crucial stability condition in linear viscoelasticity is that the Fourier cosine transform of the stress relaxation modulus be positive definite. The subject of this book is the derivation of this condition from thermodynamics and its implications for the mathematical analysis of the equations of linear viscoelasticity.

A crucial stability condition in linear viscoelasticity is that the Fourier cosine transform of the stress relaxation modulus be positive definite. The subject of this book is the derivation of this condition from thermodynamics and its implications for the mathematical analysis of the equations of linear viscoelasticity.

The authors investigate the connection between thermodynamic restrictions and well-posedness of initial and boundary value problems. A thorough thermodynamic analysis of linear viscoelasticity is included. New results are established and previous ones are shown to follow as particular cases from the general scheme. The authors demonstrate that significant improvements can be obtained in existence, uniqueness, and asymptotic stability theorems by starting from the thermodynamic restrictions as mathematical hypotheses for the initial boundary value problems.Describes general mathematical modeling of viscoelastic materials as systems with fading memory.Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation.Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles.Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.Royalties from the sale of this book are contributed to the SIAM Student Travel fund.

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