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Stop searching through the endless amount of literature to find the
mo st recent information on plate buckling. The authors of Handbook
of Th in Plate Buckling and Post Buckling have already done the
work for you . Detailed and clearly written, the book contains a
comprehensive, up- to-date treatment of the buckling and
postbuckling behavior of perfect and imperfect thin plates. The
authors study, in detail and with spec ific solved examples, the
essential factors that influence critical bu ckling loads, initial
mode shapes, and postbuckling behavior for thin plates. Through
their analysis of rectangular, circular, and annular p lates, they
present valuable information, some of which has never befo re been
published in book form. Such topics include hygrothermal buckl ing,
viscoelastic and plastic buckling, and buckling of various thickn
ess plates. With this important collection, the Handbook of Thin
Plate Buckling and Post Buckling provides you with a one-stop
source of cur rent research findings.
The primary goal of this book is to give mathematicians, applied
mathematicians, and engineers a survey of some problems of current
interest in the realm of classical nonlinear electromagnetic
theory; a secondary aim is the presentation of the wide variety of
mathematical techniques which may be employed to study such
problems. Among the problems treated are those which involve the
propagation of electromagnetic waves in nonlinear dielectric media,
the transmission of signals on distributed parameter nonlinear
lines, and nonlocal problems such as the determination of the
equilibrium states of nonlinearly elastic current-bearing wires
placed in an ambient magnetic field. The mathematical techniques
employed include several from the theory of shock waves, i.e
Riemann invariants arguments, as well as semi-inverse methods,
classical energy and compactness arguments, and the use of the
Young measure and compensated compactness arguments to handle weak
convergence problems for nonlinear systems of partial differential
equations.
Examines ill-posed, initial-history boundary-value problems
associated with systems of partial-integrodifferential equations
arising in linear and nonlinear theories of mechanical
viscoelasticity, rigid nonconducting material dielectrics, and heat
conductors with memory. Variants of two differential inequalities,
logarithmic convexity, and concavity are employed. Ideas based on
energy arguments, Riemann invariants, and topological dynamics
applied to evolution equations are also introduced. These concepts
are discussed in an introductory chapter and applied there to
initial boundary value problems of linear and nonlinear diffusion
and elastodynamics. Subsequent chapters begin with an explanation
of the underlying physical theories.
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