Incremental statics and dynamics of pre-stressed elastic materials

CISM International Centre for Mechanical Sciences, Courses and Lectures

Volumn 495, Issue , 2007, Pages 1-26

  Ogden, Ray W ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Finite deformation; Finite deformation theory; Incremental statics

Indexed keywords

EID: 79959318512     PISSN: 02541971     EISSN: 23093706     Source Type: Book Series    
DOI: 10.1007/978-3-211-73572-5_1     Document Type: Chapter

References (10)

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2. W. Hussain and R.W. Ogden. On the reflection of plane waves at the boundary of an elastic half-space subject to simple shear. International Journal of Engineering Science, 37:1549-1576, 1999.
3. W. Hussain and R.W. Ogden. Reflection and transmission of plane waves at a shear-twin interface. International Journal of Engineering Science, 38:1789-1810, 2000.
4. W. Hussain and R.W. Ogden. The effect of pre-strain on the reflection and transmission of plane waves at an elastic interface. International Journal of Engineering Science, 39:929-950, 2001.
5. R.W. Ogden. Non-linear Elastic Deformations. Dover Publications, 1997.
6. R.W. Ogden. Elements of the theory of finite elasticity, In Y.B. Fu and R.W. Ogden, editors, Nonlinear Elasticity: Theory and Applications, pages 1-57. Cambridge University Press, 2001.
7. R. W. Ogden and D.A. Sotiropoulos. The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids. IMA Journal of Applied Mathematics, 59:95-121, 1997.
8. R. W. Ogden and D.A. Sotiropoulos. Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space. IMA Journal of Applied Mathematics, 61:61-90, 1998.
9. A.J.M. Spencer. Deformations of Fibre-reinforced Materials. Oxford University Press, 1972.
10. A.J.M. Spencer. Constitutive theory for strongly anisotropic solids. In A.J.M. Spencer, editor, Continuum Theory of the Mechanics of Fibre-reinforced Composites, CISM Courses and Lectures No. 282, pages 1-32. Springer Verlag, 1984.