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Stressed Composite Structures - Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses (Hardcover, 2004 ed.)
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Stressed Composite Structures - Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses (Hardcover, 2004 ed.)
Series: Foundations of Engineering Mechanics
Expected to ship within 10 - 15 working days
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The mechanics of structures with initial stresses is a traditional
part of structural mechanics. It is closely related to the
important problem of stability of structures. The basic concepts of
elastic stability of structures go back to works by Euler (1759)
and Bryan (1889). Later, it was found that the problem of
deformation of solids with initial stresses is related to
variational principles and nonlinear problems in elasticity; see
Trefftz (1933), Marguerre (1938), Prager (1947), Hill (1958),
Washuzu (1982). Historical detail up to the 1940s can be found in
the book by Timoshenko (1953). Observing the basic concepts of the
traditional mechanics of stressed structures, we agree that these
are suitable for uniform structural elements (plates, beams, and so
on) made of homogeneous materials, but not for complex structures
(such as a network plate or a lattice mast) or structures made of
composite materials (such as fiber reinforced or textile
materials). Many concepts of the classical theory, such as a cross
section or neutral plane (axis), correspond to no mechanical
objects if we consider an inhomogeneous structure. As a result, we
come to the conclusion that it would be useful to have a theory of
thin inhomogeneous structures developed on the basis of 3-D
elasticity theory with no simplifying assumptions (with no a priori
hypothesis).
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