Abstract
Suppose two or more stress-free homogeneous solid bodies are joined firmly together along various surfaces at a temperature θ0. As the temperature is changed, the joined body will deform in some way with null traction at its boundary. Generally, we expect the joined body to build up stress unless some special conditions are satisfied by the orientation and constitution of the bodies, and by the shapes of the dividing surfaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. L. Ericksen, Theory of stress-free joints. J. Elasticity 13 (1983), p. 3–15.
R. D. James, Mechanics of coherent phase transformations in solids. MRL Report, Brown University, Division of Engineering, October, 1982.
R. W. Davidge & G. Tappin, Internal strain energy and the strength of brittle materials. J. Materials Sci. 3 (1968), p. 297–301.
B. D. Coleman & W. Noll, Material symmetry and thermostatic inequalities in finite elastic deformations. Arch. Rational Mech. Anal. 15 (1964), p. 87–111.
R. D. James, Finite deformation by mechanical twinning. Arch. Rational Mech. Anal. 77 (1981), p. 143–176.
J. M. Ball, Global invertibility of Sobolev functions and the interpénétration of matter. Proc. Royal Soc. Edinburgh 88 A (1981), p. 315–328.
C. S. Smith, Grain shapes and other metallurgical applications of topology, in Metal Interfaces. American Society for Metals: Cleveland, Ohio (1952).
Author information
Authors and Affiliations
Additional information
Dedicated to Jerry Ericksen on the Occasion of his 60th Birthday
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
James, R.D. (1986). Stress-Free Joints and Polycrystals. In: The Breadth and Depth of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61634-1_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-61634-1_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16219-3
Online ISBN: 978-3-642-61634-1
eBook Packages: Springer Book Archive