Material and Geometrical Instabilities in Nonlinear Elasticity

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.

• Summarizes the theory, provides applications, and identifies new problems and solutions of nonlinear instability of solids
• Looks at both continuous and discontinuous instabilities
• Provides the mechanical and mathematical tools required to explore and reproduce within this broad area of research
• Covers emerging areas such as novel synthetic materials, natural materials within biomechanical applications, and more