L. Angela Mihai
Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory
Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory
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Excellent- More about Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory
Stochastic elasticity is a rapidly developing field that combines nonlinear elasticity and stochastic theories to improve model predictions by accounting for uncertainties in the mechanical responses of materials. This book combines fundamental aspects of finite (large-strain) elasticity and probability theories to quantify uncertainties in the elastic responses of soft materials, drawing from the analytical continuum mechanics literature and incorporating random variables as basic concepts.
Format: Hardback
Length: 275 pages
Publication date: 03 September 2022
Publisher: Springer International Publishing AG
Stochastic elasticity is a rapidly evolving field that seamlessly integrates nonlinear elasticity and stochastic theories to enhance model predictions by accounting for uncertainties in the mechanical responses of materials. While computational methods for large-scale problems have seen tremendous advancements in recent years, there remains limited understanding of the uncertainties in the behavior of elastic materials under large strains at the fundamental level. This book takes a novel approach by combining fundamental aspects of finite (large-strain) elasticity and probability theories, which are essential prerequisites for quantifying uncertainties in the elastic responses of soft materials. By leveraging the idea that every large-scale problem originates from a small-scale data problem, this book offers a comprehensive exploration of the subject matter. The problems addressed herein are drawn from the rich tapestry of analytical continuum mechanics literature and incorporate random variables as fundamental concepts alongside mechanical stresses and strains. While these problems may be intriguing in their own right, they also serve as a catalyst for further contemplation on how stochastic extensions can be formulated and applied to more complex physical systems. Through its interdisciplinary approach, this book provides a valuable resource for researchers, engineers, and practitioners seeking to advance their understanding of the dynamics and uncertainties in elastic materials.
Weight: 612g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031066917
Edition number: 1st ed. 2022
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