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Novel finite element technologies fo...

Schroder, Jorg.

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Novel finite element technologies for solids and structures

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Novel finite element technologies for solids and structures/ edited by Jorg Schroder, Paulo de Mattos Pimenta.
其他作者:	Schroder, Jorg.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	vii, 197 p. :ill., digital ;24 cm.
內容註:	Notes on Basic Concepts of the Finite Element Method for Elliptic Problems -- Sensitivity Analysis Based Automation of Computational Problems -- Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity -- A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity -- Simple Equilibrium Finite Elements for Geometrically Exact Bernoulli-Euler Beams and Kirchhoff-Love Shells -- Isogeometric Analysis of Solids in Boundary Representation.
Contained By:	Springer eBooks
標題:	Finite element method. -
電子資源:	https://doi.org/10.1007/978-3-030-33520-5
ISBN:	9783030335205

Novel finite element technologies for solids and structures
Novel finite element technologies for solids and structures[electronic resource] /edited by Jorg Schroder, Paulo de Mattos Pimenta. - Cham :Springer International Publishing :2020. - vii, 197 p. :ill., digital ;24 cm. - CISM international centre for mechanical sciences, courses and lectures,v.5970254-1971 ;. - Courses and lectures ;v.597..

Notes on Basic Concepts of the Finite Element Method for Elliptic Problems -- Sensitivity Analysis Based Automation of Computational Problems -- Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity -- A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity -- Simple Equilibrium Finite Elements for Geometrically Exact Bernoulli-Euler Beams and Kirchhoff-Love Shells -- Isogeometric Analysis of Solids in Boundary Representation.

This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.

ISBN: 9783030335205

Standard No.: 10.1007/978-3-030-33520-5doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: TA347.F5 / N684 2020

Dewey Class. No.: 518.25

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520 $a This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.
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