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Stochastic Elasticity eBook

A Nondeterministic Approach To The Nonlinear Field Theory

by L. Angela Mihai
language: english
Publisher: Springer International Publishing, September of 2022 ‧
119,24€
95,39€
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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 variablesas 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.

Stochastic Elasticity

A Nondeterministic Approach To The Nonlinear Field Theory

by L. Angela Mihai

Property Description
ISBN: 9783031066924
Publisher: Springer International Publishing
Release Date: September of 2022
Language: English
Format: eBook
File Format and Compatibility:
Collection: Interdisciplinary Applied Mathematics
Categories: eBooks in English > Science > Mathematics
EAN: 9783031066924
Acessibilidade: Ver características de acessibilidade indicadas pelo editor

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