Books

Books for Tom Hughes
CoverTitleAuthorAbstract
Isogeometric Analysis Isogeometric Analysis: Toward Integration of CAD and FEA Hughes, Tom “The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It

“The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.”
—René de Borst, Eindhoven University of Technology

Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage.

Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material.

Provides examples of different applications, showing the reader how to implement isogeometric models
Addresses readers on both sides of the CAD/FEA divide
Describes Non-Uniform Rational B-Splines (NURBS) basis functions

Computational Inelasticity Computational Inelasticity (Interdisciplinary Applied Mathematics) (v. 7) Hughes, Tom A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a

A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Mathematical Foundations of Elasticity Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) Hughes, Tom This graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional

This graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Relevant problems appear throughout the text. 1983 edition.

The Finite Element Method The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering) Hughes, Tom Directed toward students without in-depth mathematical training, this text cultivates comprehensive skills in linear static

Directed toward students without in-depth mathematical training, this text cultivates comprehensive skills in linear static and dynamic finite element methodology. Included are a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories derived directly from three-dimensional elasticity theory. Solution guide available upon request.