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Finite Element Analysis

DOI link for Finite Element Analysis

Finite Element Analysis book

Thermomechanics of Solids

Finite Element Analysis

DOI link for Finite Element Analysis

Finite Element Analysis book

Thermomechanics of Solids
ByDavid W. Nicholson
Edition 1st Edition
First Published 2003
eBook Published 26 March 2003
Pub. location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/9780203009512
Pages 296 pages
eBook ISBN 9780429214448
SubjectsEngineering & Technology
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Nicholson, D. (2003). Finite Element Analysis. Boca Raton: CRC Press, https://doi.org/10.1201/9780203009512

Finite element modeling has developed into one of the most important tools at an engineer's disposal, especially in applications involving nonlinearity. While engineers coping with such applications may have access to powerful computers and finite element codes, too often they lack the strong foundation in finite element analysis (FEA) that nonline

TABLE OF CONTENTS

chapter 1|1 pages

Mathematical Foundations: Vectors and Matrices

chapter |12 pages

FIGURE 1.1 Rectilinear coordinate system.

chapter |9 pages

FIGURE 1.3 Spherical coordinate system.

chapter |2 pages

FIGURE 1.5 Test figure for the divergence theorem.

chapter 2|17 pages

Mathematical Foundations: Tensors

chapter 3|8 pages

Introduction to Variational and Numerical Methods

chapter 4|1 pages

Kinematics of Deformation

chapter |13 pages

FIGURE 4.2 Deformed and undeformed distances between adjacent points.

chapter |7 pages

FIGURE 4.4 Element in undeformed and deformed configurations.

chapter |2 pages

E =aX+aXY+aY E =b X +bXY+bY

chapter 5|1 pages

Mechanical Equilibrium and the Principle of Virtual Work

chapter |16 pages

FIGURE 5.1 Equilibrium of a tetrahedron.

chapter |5 pages

FIGURE 5.7 Plate element under traction. FIGURE 5.8 Plate element experiencing stress.

chapter 6|1 pages

Stress-Strain Relation and the Tangent-Modulus Tensor

chapter |9 pages

FIGURE 6.1 Illustration of isotropy.

chapter |2 pages

is =0 ie=0

chapter 7|9 pages

Thermal and Thermomechanical Response

chapter 8|4 pages

Introduction to the Finite-Element Method

chapter 9|1 pages

Element Fields in Linear Problems

chapter |2 pages

FIGURE 9.1 Rod element. FIGURE 9.2 Beam element.

chapter |3 pages

FIGURE 9.3 Triangular plate element.

chapter |1 pages

FIGURE 9.4 Axisymmetric element.

chapter |13 pages

FIGURE 9.5 Tetrahedral element.

chapter 10|2 pages

Element and Global Stiffness and Mass Matrices

chapter |4 pages

FIGURE 10.2 Beam with translational and rotational inertial and compliant boundary conditions.

chapter |9 pages

FIGURE 10.4 Assembled beam stiffness matrix.

chapter 11|14 pages

Solution Methods for Linear Problems

chapter 12|1 pages

Rotating and Unrestrained Elastic Bodies

chapter |2 pages

FIGURE 12.1 Elastic rod on rotating rigid shaft.

chapter |4 pages

FIGURE 12.2 3-D unconstrained 3-D element.

chapter 13|8 pages

Thermal, Thermoelastic, and Incompressible Media

chapter 14|2 pages

Torsion and Buckling

chapter |1 pages

FIGURE 14.2 Illustration of geometric relation.

chapter |7 pages

FIGURE 14.3 Evaluation of twisting moment.

chapter |5 pages

FIGURE 14.6 Plate element with in-plane compressive loads.

chapter 15|1 pages

Introduction to Contact Problems

chapter |2 pages

FIGURE 15.2 Spring representing contact element.

chapter |1 pages

FIGURE 15.3 Point-to-point contact.

chapter |2 pages

FIGURE 15.4 Illustration of a gap-stiffness function. FIGURE 15.5 Element for point-to-surface contact.

chapter 16|3 pages

Introduction to Nonlinear FEA

chapter |7 pages

FIGURE 16.1 Rubber rod under load.

chapter |2 pages

FIGURE 16.3 Two rubber rods under load.

chapter |3 pages

FIGURE 16.4 Illustration of the inverse tangent function.

chapter 17|7 pages

Incremental Principle of Virtual Work

chapter |5 pages

FIGURE 17.1 Contact.

chapter 18|16 pages

Tangent-Modulus Tensors for Thermomechanical Response of Elastomers

chapter 19|1 pages

Inelastic and Thermoinelastic Materials

chapter |2 pages

FIGURE 19.1 Illustration of inelastic strain.

chapter |1 pages

FIGURE 19.2(b) Illustration of yield-surface motion under kinematic hardening.

chapter |5 pages

FIGURE 19.2(c) Illustration of combined kinematic and isotropic hardening.

chapter |1 pages

(19.26) (19.27)

chapter |3 pages

FIGURE 19.3 Effect of load and temperature on yield surface.

chapter |2 pages

FIGURE 19.5 Illustration of effect of damage on elastic-plastic properties.

chapter 20|9 pages

Advanced Numerical Methods

chapter |2 pages

Monographs and Texts

chapter |1 pages

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