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Stability Loss and Buckling Delamination - Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites (Paperback, 2013 ed.)
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Stability Loss and Buckling Delamination - Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites (Paperback, 2013 ed.)
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This book investigates stability loss problems of the viscoelastic
composite materials and structural members within the framework of
the Three-Dimensional Linearized Theory of Stability (TDLTS). The
stability loss problems are considered the development of the
initial infinitesimal imperfection in the structure of the material
or of the structural members. This development is studied within
the framework of the Three-Dimensional Geometrical Non-Linear
Theory of the Deformable Solid Body Mechanics. The solution to the
corresponding boundary-value problems is presented in the series
form in the small parameter which characterizes the degree of the
initial imperfection. In this way, the nonlinear problems for the
domains bounded by noncanonical surfaces are reduced for the same
nonlinear problem for the corresponding domains bounded by
canonical surfaces and the series subsequent linearized problems.
It is proven that the equations and relations of these linearized
problems coincide with the corresponding ones of the well-known
TDLTS. Under concrete investigations as stability loss criterion
the case is taken for the initial infinitesimal imperfection that
starts to increase indefinitely. Moreover, it is proven that the
critical parameters can be determined by the use of only the zeroth
and first approximations.
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