0
TECHNICAL PAPERS

Imperfect Interfaces and Discrete Lattice Structures

[+] Author and Article Information
A. B. Movchan

Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

J. Eng. Mater. Technol 125(1), 7-11 (Dec 31, 2002) (5 pages) doi:10.1115/1.1525246 History: Received October 01, 2001; Revised June 05, 2002; Online December 31, 2002
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Benveniste,  Y., and Miloh,  T., 2001, “Imperfect Soft and Stiff Interfaces in Two-Dimensional Elasticity,” Mech. Mater., 33, pp. 309–323.
Benveniste,  Y., and Chen,  T., 2001, “On the Saint-Venant Torsion of Composite Bars With Imperfect Interfaces,” Proc. R. Soc. London, Ser. A, 457, pp. 231–255.
Benveniste,  Y., 1999, “On the Decay of End Effects in Conduction Phenomena: A Sandwich Strip With Imperfect Interfaces of Low or High Conductivity,” J. Appl. Phys., 86, pp. 1273–1279.
Klarbring,  A., and Movchan,  A. B., 1998, “Asymptotic Modelling of Adhesive Joints,” Mech. Mater., 28, pp. 137–145.
Klarbring,  A., Avila-Pozos,  O., and Movchan,  A. B., 1991, “Asymptotic Model of Orthotropic Highly Inhomogeneous Layered Structure,” Mech. Mater., 31, pp. 101–115.
Lipton,  R., 1998, “On Existence of Energy Minimizing Configurations for Mixtures of Two Imperfectly Bonded Conductors,” Control Cybern.,27, pp. 217–234.
Lipton,  R., and Talbot,  D. R. S., 2001, “Bounds for the Effective Conductivity of a Composite With an Imperfect Interface,” Proc. R. Soc. London, Ser. A, 457, pp. 1501–1517.
Bigoni,  D., Ortiz,  M., and Needleman,  A., 1997, “Effect of Interfacial Compliance on Bifurcation of a Layer Bonded to a Substrate,” Int. J. Solids Struct., 34, pp. 4305–4326.
Matsukawa,  H., and Fukuyama,  H., 1994, “Theoretical Study of Friction: One-Dimensional Clean Surfaces,” Phys. Rev. B, 49(24), pp. 17286–17292.
Maz’ya,  V. G., and Hänler,  M., 1993, “Approximation of Solutions to the Neumann Problem in Disintegrating Domains,” Math. Nachr.,162, pp. 261–278.
Movchan,  A. B., 1999, “Contributions of V. G. Maz’ya to Analysis of Singularly Perturbed Boundary Value Problems,” Operator Theory: Advances and Applications, 109 , pp. 201–212.
Peierls,  R. E., 1940, “The Size of a Dislocation,” Proc. Phys. Soc.,52, pp. 34–37.
Nabarro,  F. R. N., 1947, “Dislocations in a Simple Cubic Lattice,” Proc. Phys. Soc.,59, pp. 256–272.
Bullough, R., Movchan, A. B., and Willis, J. R., 1991, “The Peierls Stress for Various Dislocation Morphologies,” Materials Modelling: From Theory to Technology, Oxford, pp. 73–78.
Movchan,  A. B., Bullough,  R., and Willis,  J. R., 1998, “Stability of a Dislocation: Discrete Model,” Euro. Jnl of Applied Mathematics,9, pp. 373–396.
Needleman,  A., and Van der Giessen,  E., 2001, “Discrete Dislocation and Continuum Descriptions of Plastic Flow,” Mater. Sci. Eng., A, 309, pp. 1–13.
Jones,  J. E., 1924, “On the Determination of Molecular Fields,” Proc. R. Soc. London, Ser. A, 106, pp. 463–477.
Sorensen,  M. R., Jacobsen,  K. W., and Stoltze,  P. W., 1996, “Simulations of Atomic-Scale Sliding Friction,” Phys. Rev. B, 53(4), pp. 2101–2113.

Figures

Grahic Jump Location
The interface region. In contact problems it can be interpreted as a “friction region”.
Grahic Jump Location
(a) The first kernel function L1 compared with the tangential force along the half-plane boundary; (b) The second kernel function L2 compared with the normal force.
Grahic Jump Location
The tangential force versus the tangential displacement
Grahic Jump Location
Horizontal sliding accompanied by a vertical compression for a structure involving three nonlinear interface layers

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In