Multiscale Modeling in Continuum Mechanics and Structured Deformations


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Introduction to the use of numerical methods in the solution of solid mechanics and multiscale mechanics problems.

First term covers linear and function spaces. Variational principles. Finite element analysis. Variational problems in linear and finite kinematics. Time integration, initial boundary value problems.

Continuum Mechanics - Ch 2 - Lecture 2 - Deformation Gradient Tensor

Elasticity and inelasticity. Constitutive modeling. Error estimation. Accuracy, stability and convergence. Iterative solution methods. Adaptive strategies. Second term emphasizes multiscale modeling strategies, including computational homogenization in linearized and finite kinematics, spectral methods, atomistics, and atomistic-to-continuum coupling techniques.

Multiscale modeling strategies, micro-to-macro transition and homogenization problem. Computational homogenization in linear and finite kinematics, thermal problem.


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Spectral methods. Atomistic modeling and atomistic-to-continuum coupling techniques with applications. Caltech library link to Continuum Mechanics and Thermodynamis Tadmor et al. An introduction to continuum mechanics of fluids and solids and the mechanics of solids and structures with engineering applications.

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Rubin Technion, Haifa, Israel For production matters, contact production msp. Mathematical Sciences Publishers.

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All rights reserved. Volume 13 Number 5. Download current issue. For Screen.

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For Printing. Recent Issues. The Journal. Editorial Board. Research Statement. Scientific Advantage. Submission Guidelines. Submission Form. Ethics Statement.


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Journal of Mechanics of Materials and Structures Founded by. Harvard University, USA elasticity, structural stability, material and geometric nonlinearities, metamaterials.

Holdings: Multiscale modeling in continuum mechanics and structured deformations

University of Trento, Italy plasticity, shear bands, stability, fracture, nonlinear elasticity, elastica, metamaterials, ceramics, homogenization, bifurcation. Seoul National University, Korea multiscale mechanics, molecular dynamics, mechanics of composite materials, plates and shells.

Keele University, UK elastic waves, stability, bifurcation, pre-stressed elastic solids and structures. University of Illinois at Urbana-Champaign, USA modeling and characterization of composite materials; biological materials and biomechanics; nanocomposites. ETH Zurich computational mechanics, continuum mechanics, material modeling, inelasticity, multiscale modeling, instability.

About this book

Yamagata University, Japan plasticity. City University of Hong Kong symplectic elasticity, vibration, theory of plates and shells, structural dynamics, smart materials, nanomechanics and hydrodynamic stability. Xi'an Jiaotong University, China mechanics of soft materials, nanomechanics.

Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations Multiscale Modeling in Continuum Mechanics and Structured Deformations
Multiscale Modeling in Continuum Mechanics and Structured Deformations

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