This book presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering, including man-made materials and biological tissues. It offers two theories of elasticity and their associated theories of viscoelasticity.

Builds upon four experiments through each chapters and includes three additional unsolved experiments Presents a superior new theory of non-linear elasticity describing soft tissues and synthetic elastomers Viscoelasticity is presented from a physics perspective Includes supplementary material: sn.pub/extras

Autorentext

Professor Freed teaches at Saginaw Valley State University.

Inhalt

Part I: Continuum Fields.- 1 Kinematics.- 2 Deformation.- 3 Strain.-4 Stress.- Part II: Constitutive Equations.- 5 Explicit Elasticity.-6 Implicit Elasticity.- 7 Viscoelasticity.- Appendices.- A Linear Algebra.- B Covariant and Contravariant Issues: Configuration Physics.- C Kronecker Products.- D General Linear ODE Solver.- E Solver for Convolution Integrals.- F Solver for the Mittag-Leer Function.- Bibliography.- Index.