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Last update: T_KG (29.03.2016)
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Last update: T_KG (11.04.2008)
Students will be acquainted with the foundations of the continuum mechanics that are needed in geophysics, in particular in seismology. |
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Last update: T_KG (14.04.2008)
M. Brdička: Mechanika kontinua. NČSAV, Praha 1959. O. Novotný: Mechanika kontinua. MFF, Universita Karlova, Praha 1976 (Skripta). 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: T_KG (11.04.2008)
Lecture |
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Last update: T_KG (07.05.2012)
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. Equations of motion Equations 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. |
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Last update: T_KG (18.01.2007)
P?ednáška je ur?ena pro studenty, kte?í neabsolvovali úvod do mechaniky kontinua v základním kurzu fyziky, zejména pro absolventy magisterského studia z jiných fakult. |