Paper Titles
On the Crack Tip Shielding in Particle Reinforced Composites
p.311
Identification and Simulation of Elastic-Plastic Deformation Model
p.315
New Description of Steady-State Creep Rate, Yield Stress, Stress Relaxation and Their Interrelation
p.319
Computational Modelling of Spherical Cavity Behaviour in Rubber-Like Solids
p.323
Tangent Moduli of the Hencky Material Model Derived from the Stored Energy Function at Finite Strains
p.327
Modelling of the Charpy Impact Test in the DBTT Range
p.331
Parameters Identification for GTN Model and Their Verification on 42CrMo4 Steel
p.335
A Fracture Mechanics Investigation on Crack Growth in Massive Forming
p.339
Finite Element Computational Technology in Resonant Ultrasound Spectroscopy of Composite Materials
p.343

Tangent Moduli of the Hencky Material Model Derived from the Stored Energy Function at Finite Strains

Article Preview

Abstract:

Tangent moduli associated with the linear logarithmic model of hyperelasticity are derived. These relations are crucial not only to theoretical analyses but also to wave propagation and ultrasonic testing. The tangent moduli as functions of stress determine the speed of propagating acoustic waves and, therefore, indirectly point to a possible occurrence of residual stress fields in elastic solids.

You might also be interested in these eBooks
Materials Structure & Micromechanics of Fracture View Preview

Info:

Periodical:

Materials Science Forum (Volume 482)

Pages:

327-330

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.482.327

Citation:

Cite this paper

Online since:

April 2005

Authors:

Alena Kruisová, Jiří Plešek

Keywords:

Acoustoelasticity, Large Strain, Third Order Elastic Moduli

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2005 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] M. Landa and J. Plešek: Ultrasonics Vol. 40 (2002), p.531.

Google Scholar

[2] M. Kobayashi: International Journal of Plasticity Vol. 14 (1998), p.511.

Google Scholar

[3] R. W. Ogden: Non-linear Elastic Deformation (Dover Publications, Inc., Mineola 1984).

Google Scholar

[4] A. Hoger: International Journal of Solids and Structures Vol. 36 (1999), p.84.

Google Scholar

[5] L. Anand: ASME Journal of Applied Mechanics Vol. 46 (1979), p.78.

Google Scholar

[6] F. D. Murnaghan: Finite Deformation of an Elastic Solid (J. Wiley & Sons, New York 1951).

Google Scholar

[7] M. Kobayashi: International Journal of Plasticity Vol. 14 (1998), p.523.

Google Scholar

[8] J. E. Dorn and A. J. Latter: ASME Journal of Applied Mechanics Vol. 15 (1948), p.234.

Google Scholar

[9] H. Hencky: Journal of Applied Mechanics Vol. 1 (1938), p.45.

Google Scholar

[10] A. Hoger: International Journal of Solids and Structures Vol. 23 (1987), p.1645.

Google Scholar

[11] A. Poživilová: Constitutive modelling of hyperelastic materials using the logarithmic description (PhD thesis, Czech Technical University, Prague, 2002).

Google Scholar

[12] D. S. Hughes and J. L. Kelly: Physical Review Vol. 99 (1953), p.1145.

Google Scholar