Soft Solids A Primer to the Theoretical Mechanics of Materials /

• Main Author: Freed, Alan D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; Functional analysis.; Mathematical physics.; Amorphous substances.; Complex fluids.; Biomaterials.; Functional Analysis.; Soft and Granular Matter, Complex Fluids and Microfluidics.; Mathematical Applications in the Physical Sciences.

This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics, or applied mathemati...

Table of Contents:

• 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.