Ray W. Ogden

Gerhard A. Holzapfel

The mechanics of biological tissues is a multidisciplinary and rapidly expanding area of research. This book points to important directions combining mechanical sciences with the new developments in biology. It delivers articles on mechanics of tissues at the molecular, cellular, tissue and organ levels.

Mechanics of Biological Tissue

J.D. Humphrey: Need for a Continuum Biochemomechanical Theory of Soft Tissue and Cellular Growth and Remodeling H. Schmid and P.J. Hunter: Multi-scale Modelling of the Heart R.W. Ogden: Anisotropy and Nonlinear Elasticity in Arterial Wall Mechanics G.A. Holzapfel: Arterial Tissue in Health and Disease: Experimental Data, Collagen-based Modeling and Simulation, Including Aortic Dissection.

Biomechanical Modelling at the Molecular, Cellular and Tissue Levels

Luis Dorfmann

This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Ray W. Ogden

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