Material and Geometrical Instabilities in Nonlinear Elasticity

Erscheinungsjahr 2022
ISBN: 978-0-12-822853-1
Verlag: Elsevier Science

Buch, Englisch, 275 Seiten, Format (B × H): 152 mm x 229 mm

Material and Geometrical Instabilities in Nonlinear Elasticity provides an overview of the cutting-edge solutions to complex nonlinear instability problems. It starts by outlining basic theory and examples, providing a seamless introduction to instabilities associated with electro-mechanical materials, before moving on to more advanced topics based on nonlinear continuum mechanics and dealing simultaneously with the physical interpretation and the mathematical computations required to handle the analyses. Early chapters look at fundamental concepts such as definitions of instability, differences between material and structural/geometrical instability, and the basic tools of continuum theory within nonlinear elasticity. Coverage then progresses into more complex topics such as incremental deformations, variational approaches, cylindrical and spherical geometries, helical buckling, and piecewise homogeneous and coupled field deformations, providing examples and real-world applications of each.

Autoren/Hrsg.

Merodio, Jose

Ogden, Raymond

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

1. Basic Definitions and Examples of Instabilities in Nonlinear Elasticity2. Basic Tools of Continuum Theory within Nonlinear Elasticity3. Incremental Deformations in Nonlinear Elasticity4. Geometrical Instabilities in Nonlinear Elasticity5. Material Instabilities in Nonlinear Elasticity6. Coupled Field Formulations within Nonlinear Elasticity

Über Autor(innen)

Merodio, Jose
Professor Merodio's research focuses on the mechanics of structures and materials with particular attention paid to structural instabilities (bifurcation) as well as material instabilities (kink bands). This involves the use of analytical and numerical approaches to deal with, for instance, constitutive modeling in the framework of continuum mechanics and the propagation of waves. He has authored over 75 peer-reviewer papers and has co-edited one book.

Ogden, Raymond
Professor Ogden's primary areas of research are continuum mechanics and modeling and analysis of material systems. He has published over 225 peer-reviewer papers, edited one book, and authored or co-authored another 5 monographs.