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Waves in Nonlinear Pre-Stressed Materials

Contributor(s): Destrade, Michel [editor.] | Saccomandi, Giuseppe [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: CISM Courses and Lectures: 495Publisher: Vienna : Springer Vienna, 2007.Description: VII, 281 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783211735725.Subject(s): Engineering | Engineering | Engineering, generalDDC classification: 620 Online resources: Click here to access online
Contents:
Incremental Statics and Dynamics of Pre-Stressed Elastic Materials -- Small-on-Large Theory with Applications to Granular Materials and Fluid/Solid Systems -- Interface Waves in Pre-Stressed Incompressible Solids -- Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-spaces -- Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview? -- Numerical Methods for Elastic Wave Propagation.
In: Springer eBooksSummary: The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications. A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.
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Incremental Statics and Dynamics of Pre-Stressed Elastic Materials -- Small-on-Large Theory with Applications to Granular Materials and Fluid/Solid Systems -- Interface Waves in Pre-Stressed Incompressible Solids -- Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-spaces -- Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview? -- Numerical Methods for Elastic Wave Propagation.

The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications. A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.

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