Stochastic Elasticity is popular PDF and ePub book, written by L. Angela Mihai in 2022-09-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stochastic Elasticity can be Read Online from any device for your convenience.
Stochastic Elasticity Book PDF Summary
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.
Detail Book of Stochastic Elasticity PDF
- Author : L. Angela Mihai
- Release : 01 September 2022
- Publisher : Springer Nature
- ISBN : 9783031066924
- Genre : Mathematics
- Total Page : 283 pages
- Language : English
- PDF File Size : 15,5 Mb
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