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Last update: Mgr. Zdeňka Sedláčková (14.05.2012)
Equation of motion in integral and differential forms. Generalised Hooke’s law. Hooke’s law for an isotropic medium. Equation of motion for a homogeneous isotropic medium; wave equations. Foundations of hydrodynamics. |
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Last update: Mgr. Zdeňka Sedláčková (15.05.2012)
I.S. Sokolnikov: Mathematical Theory of Elasticity. McGraw-Hill, New York 1946. Y.C. Fung: Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs 1965. Y.C. Fung: A First Course in Continuum Mechanics. Prentice-Hall, Englewood Cliffs 1969. O. Novotny: Seismic Surface Waves. UFBA, Salvador, Bahia 1999 (Lecture notes). |
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Last update: Mgr. Zdeňka Sedláčková (15.05.2012)
Zkouška formou ústní. |
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Last update: Mgr. Zdeňka Sedláčková (14.05.2012)
Outlook
Mathematical models in physics
Displacement vector
Strain tensor Tensor of finite strain. Physical meaning of the components of the tensor of finite strain. Principal axes of strain. Tensor of infinitesimal strain. Volume dilatation.
Stress vector and related problems Body forces and surface forces. Stress vector. Conditions of equilibrium in integral form. Equations of motion in integral form.
Stress tensor Components of the stress tensor. Cauchy’s formula. Conditions of equilibrium in differential form. Equations of motion in differential form.
Stress-strain relations Rheological classifications of substances. Generalised Hooke’s law. Homogeneous strain. Relations among the elastic coefficients.
Equations of motion Equation of motion for a homogeneous isotropic medium. Wave equations.
Foundations of hydrodynamics The equations of motion in the Eulerian coordinates. Ideal fluid, equation of continuity, Bernoulli’s equation. Viscous fluid, the Navier-Stokes equation. |