Introduction: Consequences of Newton's laws: conservation laws. Aplications: determination of the center of mass of an individual, the ballistocardiogram.
Statics: stability of structures in problems of biomedicine.
Deformable media: general concepts; deformation tensor; compatibility conditions; stress tensor; static equilibrium conditions; energy of deformation; Hooke's generalized law; isotropic materials; bidimensional isotropic materials; the Mohr's circle; monotropic and orthotropic materials; yield and rupture criteria; fatigue; aplications to problems in biomedicine involving traction, tortion and flexion.
Constitutive equations of fluids: incompressible and compressible fluids at rest, Euler's equation; viscous fluids, Navier-Stokes equation.
Viscoelasticity: isotropic materials with linear visco-elastic behaviour: Kelvin-Voigt, Maxwell and standard models.
Bibliography of reference
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C. Providência e C. Sousa, Apontamentos de Biomecânica, 2007.
Y. C. Fung, A first course in continuum mechanics: for physical and biological engineers and scientists, 1994.
J. J. Pedroso de Lima, Biofísica Médica, 2003.
N. Ozkaya e M. Nordin, Fundamentals of biomechanics: equilibrium, motion and deformation, Springer, 1999.
George B. Benedek, Felix M. H. Villars, Physics : with illustrative examples from medicine and biology, vol. 1 : mechanics, Springer, 2000.
B. Bhatia e R. N. Singh, Mechanics of deformable media, IOP, 1986.