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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Stochastic Elasticity - A Nondeterministic Approach to the Nonlinear Field Theory (Hardcover, 1st ed. 2022)
Loot Price: R3,185
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Stochastic Elasticity - A Nondeterministic Approach to the Nonlinear Field Theory (Hardcover, 1st ed. 2022)
Series: Interdisciplinary Applied Mathematics, 55
Expected to ship within 12 - 17 working days
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Total price: R3,205
Discovery Miles: 32 050
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Stochastic elasticity is a fast developing field that combines
nonlinear elasticity and stochastic theories in order to
significantly improve model predictions by accounting for
uncertainties in the mechanical responses of materials. However, in
contrast to the tremendous development of computational methods for
large-scale problems, which have been proposed and implemented
extensively in recent years, at the fundamental level, there is
very little understanding of the uncertainties in the behaviour of
elastic materials under large strains. Based on the idea that every
large-scale problem starts as a small-scale data problem, this book
combines fundamental aspects of finite (large-strain) elasticity
and probability theories, which are prerequisites for the
quantification of uncertainties in the elastic responses of soft
materials. The problems treated in this book are drawn from the
analytical continuum mechanics literature and incorporate random
variables as basic concepts along with mechanical stresses and
strains. Such problems are interesting in their own right but they
are also meant to inspire further thinking about how stochastic
extensions can be formulated before they can be applied to more
complex physical systems.
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