Home : Book details

Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient (SpringerBriefs in Mathematics) free ebook download

Category:
Mathematics

Views: 74
Likes: 0

Catalogue

Author(s):	Juan Casado-Diaz

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3030981908
Pages:	120	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	4/19/2024 7:54:54 PM

To download click on link in the Links Table below

Description: Click to see full description

3030981908 pdf
This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book.
It is well known that this type of problems has no solution in general and therefore that it is needed to work with a relaxed formulation. The main results in the book refer to how to obtain such formulation, the optimality conditions, and the numerical computation of the solutions. In the case of functionals that do not depend on the gradient of the state equation, it is known that a relaxed formulation consists of replacing the original materials with more general materials obtained via homogenization. This includes materials with different properties of the originals but whose behavior can be approximated by microscopic mixtures of them. In the case of a cost functional depending nonlinearly on the gradient, it is also necessary to extend the cost functional to the set of these more general materials. In general, we do not dispose of an explicit representation, and then, to numerically solve the problem, it is necessary to design strategies that allow the functional to be replaced by upper or lower approximations.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3256256	Book	https://rapidgator.net/file/57f686d703b3...		0.00	risotor

Tags: Cost Depends Design Functional Gradient Materials Multi-Phase Nonlinearly Optimal SpringerBriefs

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment:

Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient (SpringerBriefs in Mathematics) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics