Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear

European Journal of Mechanics, A/Solids

Volumn 24, Issue 2, 2005, Pages 195-206

  Andrianov, Igor V ^a   Danishevs'kyy, Vladyslav V ^b,c   Guillet, Alain ^c,d   Pareige, Philippe ^c  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b PRYDNIPROVSKA STATE ACADEMY OF CIVIL ENGINEERING AND ARCHITECTURE   (Ukraine)

^c UNIVERSITÉ DE ROUEN   (France)

^d UNIVERSITÉ ET INSA DE ROUEN   (France)

Author keywords

Asymptotic methods; Composite materials; Effective properties; Homogenization; Interfacial stresses

Indexed keywords

APPROXIMATION THEORY; COMPOSITE MICROMECHANICS; DRAWING (FORMING); PERTURBATION TECHNIQUES; PROBLEM SOLVING; SHEAR STRESS;

ASYMPTOTIC METHODS; COMPOSITE WIRES; HOMOGENIZATION; INTERFACIAL STRESS; LONGITUDINAL SHEAR;

COMPOSITE MATERIALS;

EID: 16344387183     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2005.01.006     Document Type: Article

References (41)

1. I.V. Andrianov, V.V. Danishevs'kyy, and A.L. Kalamkarov Asymptotic analysis of effective conductivity of composite materials with large rhombic fibers Composite Structures 56 2002 229 234
2. I.V. Andrianov, V.V. Danishevs'kyy, and D. Weichert Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions Eur. J. Mech. A Solids 21 2002 1019 1036
3. G. Baker, and P. Graves-Morris Padé Approximants 1996 Cambridge University Press Cambridge
4. N.S. Bakhvalov Homogenized properties of periodically heterogeneous solids Dokl. Akad. Nauk SSSR 218 5 1974 1046 1048 (in Russian)
5. N.S. Bakhvalov, and G.P. Panasenko Homogenization: Averaging Processes in Periodic Media. Mathematical Problems in Mechanics of Composite Materials 1989 Kluwer Academic Dordrecht
6. A. Bensoussan, J.-L. Lions, and G. Papanicolaou Asymptotic Analysis for Periodic Structures 1978 North-Holland Amsterdam
7. Y. Benveniste, and G.W. Milton New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages J. Mech. Phys. Solids 51 2003 1773 1813
8. C. Boutin Study of permeability by periodic and self-consistent homogenization Eur. J. Mech. A Solids 19 2000 603 632
9. C. Boutin, and S. Hans Homogenisation of periodic discrete medium: application to dynamics of framed structures Comput. Geotech. 30 2003 303 320
10. J.P. Boyd The devil's invention: asymptotic, superasymptotic and hyperasymptotic series Acta Appl. Math. 56 1999 1 98
11. V.A. Buryachenko Multiparticle effective field and related methods in micromechanics of composite materials Appl. Mech. Rev. 54 2001 1 47
12. R. Christensen Mechanics of Composite Materials 1979 Wiley New York
13. G. Gailletaud, S. Forest, D. Jeulin, F. Feyel, I. Galliet, V. Mounoury, and S. Quilici Some elements of microstructural mechanics Comput. Mater. Sci. 27 2003 351 374
14. R. Guinovart-Díaz, J. Bravo-Castillero, R. Rodríguez-Ramos, and F.J. Sabina Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents I. Elastic and hexagonal symmetry J. Mech. Phys. Solids 49 2001 1445 1462
15. A.N. Guz On an approximate method for determination of stress concentration around curvilinear holes in shells Prikl. Mekh. 8 6 1962 605 612
16. A.N. Guz, and Yu.N. Nemish Perturbation Methods in Spatial Problems of the Elasticity Theory 1982 Vyscha Shkola Kyiv (in Russian)
17. A.N. Guz, and Yu.N. Nemish Perturbation of boundary shape in continuum mechanics Sov. Appl. Mech. 23 9 1987 799 822
18. A.N. Guz, and Yu.N. Nemish Method of Boundary Shape Perturbations in Mechanics of Solids 1989 Vyscha Shkola Kyiv (in Russian)
19. Z. Hashin Analysis of composite materials - a survey J. Appl. Mech. 50 1983 481 505
20. M.W. Hyer Stress Analysis of Fiber-Reinforced Composite Materials (with contributions on fibers, matrices, interfaces and manufacturing by S.R. White) 1998 WCB/McGraw-Hill Boston
21. A.L. Kalamkarov, and A.G. Kolpakov Analysis, Design and Optimization of Composite Structures 1997 Wiley New York
22. L.I. Manevitch, I.V. Andrianov, and V.G. Oshmyan Mechanics of Periodically Heterogeneous Structures 2002 Springer-Verlag Berlin
23. J.C. Maxwell Electricity and Magnetism first ed 1873 Clarendon Press Oxford
24. C. Miehe, J. Schröder, and C. Bayreuther On the homogenization analysis of composite materials based on discretized fluctuations on the micro-structure Acta Mech. 155 2002 1 16
25. A.H. Nayfeh Perturbation Methods 2000 Wiley New York
26. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 1999 Elsevier Amsterdam-New York
27. O'Brien, R.W., 1977. Properties of Suspensions of Interacting Particles. Ph.D. thesis, University of Cambridge
28. F. Périn Bounds and asymptotic results for the effective electromagnetic properties of a locally periodic distribution of conducting inclusions in a conducting matrix Eur. J. Mech. A Solids 23 2004 139 157
29. W.T. Perrins, D.R. McKenzie, and R.C. McPhedran Transport properties of regular arrays of cylinders Proc. Roy. Soc. London Ser. A 369 1979 207 225
30. J.W. Rayleigh On the influence of obstacles arranged in rectangular order on the properties of the medium Philos. Mag. 34 1892 481 502
31. A. Reuss Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätbedingungen für Einkristall Z. Angew. Math. Mech. 9 1929 49 58 (in German)
32. R. Rodríguez-Ramos, F.J. Sabina, R. Guinovart-Díaz, and J. Bravo-Castillero Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents I. Elastic and square symmetry Mech. Mater. 33 2001 223 235
33. M. Sahimi Heterogeneous Materials I. Linear Transport and Optical Properties 2003 Springer New York
34. M. Sahimi Heterogeneous Materials II. Nonlinear and Breakdown Properties and Atomistic Modelling 2003 Springer New York
35. E. Sánchez-Palencia Non-Homogeneous Media and Vibrations Theory Lectures Notes in Phys. vol. 127 1980 Springer-Verlag Berlin
36. P. Suquet Continuum Micromechanics CISM Courses and Lectures vol. 377 1997 Springer-Verlag Berlin
37. S. Torquato Modelling of physical properties of composite materials Int. J. Solids Structures 37 2000 411 422
38. S. Torquato Random Heterogeneous Materials. Microstructure and Macroscopic Properties 2002 Springer New York
39. G.A. Vanin Micromechanics of Composite Materials 1985 Naukova Dumka Kyiv (in Russian)
40. W. Voigt Lehrbuch der Kristallphysik 1910 Teubner Leipzig-Berlin (in German)
41. L. Weber, J. Dorn, and A. Mortensen On the electrical conductivity of metal matrix composites containing high volume fractions of non-conducting inclusions Acta Mater. 51 2003 3199 3211