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Modern Mechanics and Mathematics


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Configurational Forces Thermomechanics, Physics, Mathematics, and Numerics

Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics

1st Edition

By Gerard A. Maugin
January 18, 2011

Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the ...

Classical and Generalized Models of Elastic Rods

Classical and Generalized Models of Elastic Rods

1st Edition

By D. Iesan
November 19, 2008

Reflecting new developments in the study of Saint-Venant’s problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents ...

Microstructural Randomness and Scaling in Mechanics of Materials

Microstructural Randomness and Scaling in Mechanics of Materials

1st Edition

By Martin Ostoja-Starzewski
August 13, 2007

An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores ...

Hybrid and Incompatible Finite Element Methods

Hybrid and Incompatible Finite Element Methods

1st Edition

By Theodore H.H. Pian, Chang-Chun Wu
November 04, 2005

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have ...

Continuum Mechanics and Plasticity

Continuum Mechanics and Plasticity

1st Edition

By Han-Chin Wu
December 20, 2004

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental...

Beyond Perturbation Introduction to the Homotopy Analysis Method

Beyond Perturbation: Introduction to the Homotopy Analysis Method

1st Edition

By Shijun Liao
October 27, 2003

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.This book ...

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