Full Description
Biomechanics applies the laws and techniques of mechanics in the study of biological systems and related phenomena. Biomechanics uses mathematical and computational tools such as model construction of musclo-skeletal system, body fluid circulation, to aid medical diagnosis, therapeutics and surgery planning, designing of prostheses and implants or in tissue engineering. Present book targets specific topics pertaining to the biomechanics of soft tissues. Subjects addressed includes solids and multi-species mixtures as open systems: a continuum mechanics perspective; electro-chemo-mechanical couplings: tissues with a fixed electric charge and growth of biological tissues.
Contents
Biomechanical topics in soft tissues. Solids and multi-species mixtures as open systems: a continuum mechanics perspective. Elements of continuum mechanics. Thermodynamic properties of fluids. Multi-species mixtures as thermodynamically open systems. Anisotropic and conewise elasticity. Hyperelasticity, a purely mechanical point of view. Poroelasticity with a single porosity. Viscoelasticity and poro-viscoelasticity. Thermoelasticity and thermo-poroelasticity. Transfers of mass, momentum and energy. Waves in thermoelastic solids and saturated porous media. Electro-chemo-mechanical couplings : tissues with a fixed electric charge. Directional averaging and mechanical properties of fiber-reinforced tissues. Electro-chemo-mechanical couplings. Chemo-mechanical couplings in articular cartilages. Passive transport in the interstitium and circulation: basics. Coupled transportsin tissues endowed with a fixed electric charge. Effects of pH on the transport and mechanical properties of articular cartilages. Finite element analysis of electro-chemo-mechanical couplings. Two lamellar tissues: cornea and annulus fibrosus. Active transport. Growth of biological tissues. Tissue Engineering: overview of biochemical data and mechanical modeling. Growth of soft tissues. Kinematics, formulation and examples. Elastic-growing solids. Thermodynamically consistent growth laws. Elastic-growing mixtures. Solid tumors: biochemical overview and mechanical modeling. Units and physical constants. Bibliography
