Two-parameter asymptotic approximations in the analysis of a thin solid fixed on a small part of its boundary

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 60, Issue 4, 2007, Pages 457-471

  Zalipaev, V V ^a   Movchan, A B ^a   Jones, I S ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b LIVERPOOL JOHN MOORES UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ELASTICITY;

ASYMPTOTIC APPROXIMATIONS; PLANAR ELASTICITY; STRAIN ELASTICITY;

APPROXIMATION THEORY;

EID: 36348999834     PISSN: 00335614     EISSN: 14643855     Source Type: Journal    
DOI: 10.1093/qjmam/hbm019     Document Type: Article

References (5)

1. J. Casado-Diaz, M. Luna-Laynez and F. Murat, Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities, C. R. Acad. Sci. Paris 338 (2004) 975-980.
2. A. B. Movchan and N. V. Movchan, Mathematical Modelling of Solids with Nonregular Boundaries (CRC Press, Boca Raton, FL 1995).
3. V. A. Kozlov, V. G. Mazýa and A. B. Movchan, Asymptotic Analysis of Fields in Multi-Structures (Oxford Science Publications, Oxford 1999).
4. V. G. Mazýa, S. Nazarov and B. Plamenevskij, Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains, Operator Theory: Advances and Applications Vol. 112 (Birkhauser, Basel 2000).
5. R. D. Gregory and F. Y. M. Wan, Decaying states of plane stain in a semi-infinite strip and boundary conditions for plate theory, J. Elast. 14 (1984) 27-64.