View:

- no detail
- some detail
- full detail

## Flows of Viscous Incompressible Fluids

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0007
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Fluid mechanics is concerned with the motion of gases and liquids and their interaction with the surroundings. A fluid can either be inviscid (the viscosity is assumed to be zero) or incompressible ... More

## Nonlinear Bending of Elastic Plates and Shells

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0006
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Simple two-dimensional plate and shell theories can be developed to study the deformation and stresses in plate structures undergoing small strains, small to moderate rotations, and large ... More

## Coarse-Grained Molecular Dynamics: Concurrent Multiscale Simulation at Finite Temperature Protect 1

*Robert E. Rudd*

### in Multiscale Methods: Bridging the Scales in Science and Engineering

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199233854
- eISBN:
- 9780191715532
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199233854.003.0005
- Subject:
- Mathematics, Applied Mathematics

Coarse-grained molecular dynamics (CGMD) is a computer modeling technique that couples conventional molecular dynamics (MD) in some spatial regions of the simulation to a more coarse-grained ... More

## Finite Element Formulations of Solid Continua

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0009
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

In the linear description of the motion of solid bodies, the displacements and strains are assumed to be very small and the material is linearly elastic. In addition, the equilibrium equations are ... More

## Nonlinear Analysis of Time-Dependent Problems

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0008
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

In this chapter, finite element models are used to solve time-dependent problems with nonlinearities and some standard time approximation schemes are described. All classes of nonlinear problems ... More

## Material Nonlinearities and Coupled Problems

*J. N. REDDY*

### in An Introduction to Nonlinear Finite Element Analysis

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Nonlinearities arise from two independent sources: nonlinearity due to changes in the geometry or position of the material particles of a continuum, which is called the geometric nonlinearity, and ... More

## Nonlinear Bending of Straight Beams

*J. N. Reddy*

### in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

- Published in print:
- 2014
- Published Online:
- June 2015
- ISBN:
- 9780199641758
- eISBN:
- 9780191789557
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641758.003.0005
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter discusses two different theories to model the kinematic behaviour of beams – the Euler–Bernoulli beam theory and the Timoshenko beam theory – and their finite element models are ... More

## Nonlinear Bending of Elastic Plates

*J. N. Reddy*

### in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

- Published in print:
- 2014
- Published Online:
- June 2015
- ISBN:
- 9780199641758
- eISBN:
- 9780191789557
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641758.003.0007
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter develops the classical plate theory (CPT) and first-order shear deformation plate theory (FSDT) based on assumed displacement fields and accounting for the von Káarmán nonlinearity. The ... More

## One-Dimensional Problems Involving a Single Variable

*J. N. Reddy*

### in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

- Published in print:
- 2014
- Published Online:
- June 2015
- ISBN:
- 9780199641758
- eISBN:
- 9780191789557
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641758.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter presents the weak-form Galerkin finite element model of a typical second-order nonlinear boundary-value problem in one dimension. It discusses iterative methods of solving nonlinear ... More

## An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

*J. N. Reddy*

- Published in print:
- 2014
- Published Online:
- June 2015
- ISBN:
- 9780199641758
- eISBN:
- 9780191789557
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641758.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials

The development of realistic mathematical models that govern the response of systems or processes is strongly connected to the ability to translate them into meaningful discrete models that allow for ... More

## Two-Dimensional Problems Involving a Single Variable

*J. N. Reddy*

- Published in print:
- 2014
- Published Online:
- June 2015
- ISBN:
- 9780199641758
- eISBN:
- 9780191789557
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641758.003.0006
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter presents the weak-form Galerkin finite element model of a generalized, nonlinear Poisson equation in two-dimensions for both steady-state and transient response. It discusses the ... More

View:

- no detail
- some detail
- full detail