Evaluation of the contribution of irregularly shaped holes into the effective elastic moduli by numerical conformal mapping

International Journal of Fracture

Volumn 107, Issue 2, 2001, Pages

  Tsukrov, Igor ^a   Novak, Jindrich ^a  

^a University of New Hampshire   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONFORMAL MAPPING; ELASTICITY; TENSORS; TWO DIMENSIONAL;

HOLE COMPLIANCE TENSOR; NUMERICAL CONFORMAL MAPPING;

ELASTIC MODULI;

EID: 0035135372     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Driscoll T.A. (1996). A MATLAB Toolbox for Schwarz-Christoffel mapping. ACM Transactions on Mathematical Software 22, 168-186.
2. Jasiuk I., Chen J. and Thorpe M.F. (1994). Elastic moduli of two dimensional materials with polygonal and elliptical holes. Applied Mechanics Reviews 47(1), S18-S28.
3. Kachanov M., Tsukrov I. and Shafiro B. (1994). Effective properties of solids with cavities of various shapes. Applied Mechanics Reviews 47(1), S151-S174.
4. Muskhelishvili N.I. (1953). Some basic problems of the mathematical theory of elasticity, Noordhoff, Groningen.
5. Nemat-Nasser S, and Hori M. (1993). Mircomechanics: overall properties of heterogeneous materials, Elsevier Science, Amsterdam.
6. Tsukrov I. and Kachanov M. (1993). Solids with holes of irregular shapes: effective moduli and anisotropy. International Journal of Fracture 64(1), R9-12.