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Stochastic Elasticity : A Nondeterministic Approach to the Nonlinear Field Th...

Description: Stochastic Elasticity : A Nondeterministic Approach to the Nonlinear Field Theory, Paperback by Mihai, L. Angela, ISBN 3031066944, ISBN-13 9783031066948, Like New Used, Free shipping in the US 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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Stochastic Elasticity : A Nondeterministic Approach to the Nonlinear Field Th...

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Book Title: Stochastic Elasticity : A Nondeterministic Approach to the Nonlin

Number of Pages: Xvii, 275 Pages

Language: English

Publication Name: Stochastic Elasticity : a Nondeterministic Approach to the Nonlinear Field Theory

Publisher: Springer International Publishing A&G

Subject: Mechanics / General, Probability & Statistics / General, General, Applied

Publication Year: 2023

Type: Textbook

Item Weight: 16.1 Oz

Subject Area: Mathematics, Science

Author: L. Angela Mihai

Item Length: 9.3 in

Series: Interdisciplinary Applied Mathematics Ser.

Item Width: 6.1 in

Format: Trade Paperback

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