Mechanics

Download Mechanics of Crustal Rocks by Florian K. Lehner (auth.), Yves M. Leroy, Florian K. Lehner PDF

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By Florian K. Lehner (auth.), Yves M. Leroy, Florian K. Lehner (eds.)

The mechanical behaviour of the earth's higher crust enters right into a nice number of questions in numerous components of the geological and geophysical sciences in addition to within the extra utilized geotechnical disciplines. This quantity provides a variety of papers from a CISM direction in Udine in this subject. whereas every one of those chapters will make for an invaluable contribution in its personal correct, the current package deal additionally illustrates, in terms of examples, the diversity of theoretical suggestions and instruments which are at the moment dropped at endure on the earth deformation reviews, starting from studies of poroelastic box thought to micro-mechanical and homogenization stories, chemomechanics and interfacial balance conception of soluble solids below pressure, and at last to an advent to the finite aspect method.

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Rudnicki Comparison with (14) reveals that the term in brackets in the integrand is the stress at ξ due to a unit point force in the ith direction at x: ∂gji (ξ − x) ∂ξk (32) σlm (ξ − x)ε∗lm (ξ)d3 ξ (33) (i) σlm (ξ − x) = Clmjk Thus, (31) can be written as (i) ui (x) = V Consequently, the result (31) can be interpreted as following from the equality of work expressions: V Pi σlm (ξ − x)ε∗lm (ξ)d3 ξ (i) Pi δDIRAC (ξ − x)ui (ξ)d3 ξ = V (34) The left term is the work of the point force Pi at x on the displacement at ξ due to the transformation strain ε∗lm (ξ).

Gassmann, F. (1951). Uber die Elastizit¨ at por¨oser Medien. Vierteljahrsschr. Naturforsch. Ges. Z¨ urich 96, 1–23. Geertsma, J. (1957a). A remark on the analogy between thermoelasticity and the elasticity of saturated porous media. J. Mech. Phys. Solids 6, 13–16. Geertsma, J. (1957b). The effect of fluid pressure decline on volumetric changes in porous rocks. Trans. AIME 210, 331–340. Geertsma, J. (1966). Problems of rock mechanics in petroleum production engineering. Proc. 1st Congr. Int. Society of Rock Mechanics, 585–594.

Gassmann, F. (1951). Uber die Elastizit¨ at por¨oser Medien. Vierteljahrsschr. Naturforsch. Ges. Z¨ urich 96, 1–23. Geertsma, J. (1957a). A remark on the analogy between thermoelasticity and the elasticity of saturated porous media. J. Mech. Phys. Solids 6, 13–16. Geertsma, J. (1957b). The effect of fluid pressure decline on volumetric changes in porous rocks. Trans. AIME 210, 331–340. Geertsma, J. (1966). Problems of rock mechanics in petroleum production engineering. Proc. 1st Congr. Int. Society of Rock Mechanics, 585–594.

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