This book covers the fundamental aspects of continuum mechanics (tensor methods, kinematics of deformation and motion, forces and balance laws) and includes a modern account of essential aspects of constitutive theory such as frame invariance, material symmetry, constraints, and restrictions imposed by thermodynamics.Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to research litera...

This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the r...

Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multi...

This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:mathematical modelling in solid, fluid and contact mechanicsnonconvex variational analysis with emphasis to nonlinear solid and structural mechanicsnumerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerica...

This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, ...