메뉴 건너뛰기




Volumn 31, Issue 5, 2006, Pages 378-387

Designing the elastic properties of laminates as an optimisation problem: A unified approach based on polar tensor invariants

Author keywords

Elastic symmetries; Laminates; Polar method; Quasi homogeneity; Uncoupling

Indexed keywords

ELASTICITY; PROBLEM SOLVING; STIFFNESS; STRUCTURAL OPTIMIZATION; TENSORS;

EID: 33751199365     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-005-0566-5     Document Type: Article
Times cited : (31)

References (38)
  • 1
    • 0028753582 scopus 로고
    • Optimal design of laminated plates and shells
    • Abrate S (1994) Optimal design of laminated plates and shells. Compos Struct 29:269-286
    • (1994) Compos Struct , vol.29 , pp. 269-286
    • Abrate, S.1
  • 3
    • 0020177161 scopus 로고
    • A note on specially orthotropic laminates
    • Caprino C, Crivelli-Visconti I (1982) A note on specially orthotropic laminates. J Compos Mater 16:395-399
    • (1982) J Compos Mater , vol.16 , pp. 395-399
    • Caprino, C.1    Crivelli-Visconti, I.2
  • 4
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R, Reeves RM (1964) Function minimization by conjugate gradients. Comput J 7:149-160
    • (1964) Comput J , vol.7 , pp. 149-160
    • Fletcher, R.1    Reeves, R.M.2
  • 5
    • 84972743912 scopus 로고
    • On isotropic laminate configurations
    • Fukunaga H (1990) On isotropic laminate configurations. J Compos Mater 24:519-535
    • (1990) J Compos Mater , vol.24 , pp. 519-535
    • Fukunaga, H.1
  • 6
    • 0026140487 scopus 로고
    • Stiffness optimization of orthotropic laminated composites using lamination parameters
    • Fukunaga H, Vanderplaats GN (1991) Stiffness optimization of orthotropic laminated composites using lamination parameters. AIAA J 29:641-646
    • (1991) AIAA J , vol.29 , pp. 641-646
    • Fukunaga, H.1    Vanderplaats, G.N.2
  • 7
    • 0342939539 scopus 로고    scopus 로고
    • A procedure for designing laminated plates with required stiffness properties. Application to thin quasi-isotropic quasi-homogeneous uncoupled laminates
    • Grédiac M (1999) A procedure for designing laminated plates with required stiffness properties. Application to thin quasi-isotropic quasi-homogeneous uncoupled laminates. J Compos Mater 33:1939-1956
    • (1999) J Compos Mater , vol.33 , pp. 1939-1956
    • Grédiac, M.1
  • 8
    • 0342472192 scopus 로고    scopus 로고
    • On the design of some particular orthotropic plates with non-standard ply orientations
    • Grédiac M (2000) On the design of some particular orthotropic plates with non-standard ply orientations. J Compos Mater 34:1665-1699
    • (2000) J Compos Mater , vol.34 , pp. 1665-1699
    • Grédiac, M.1
  • 13
    • 0001193723 scopus 로고
    • The inversion of plane stress
    • Michell JH (1902) The inversion of plane stress. Proc Lond Math Soc 34:34-142
    • (1902) Proc Lond Math Soc , vol.34 , pp. 34-142
    • Michell, J.H.1
  • 14
    • 0020290423 scopus 로고
    • Material design of composite laminates with required in-plane elastic properties
    • Tokyo, Japan
    • Miki M (1982) Material design of composite laminates with required in-plane elastic properties. In: Proceedings of the 4th international conference on composite materials, Tokyo, Japan, pp 1725-1731
    • (1982) Proceedings of the 4th International Conference on Composite Materials , pp. 1725-1731
    • Miki, M.1
  • 16
    • 0030121784 scopus 로고    scopus 로고
    • Designing quasi-isotropic laminates with respect to bending
    • Paradies R (1996) Designing quasi-isotropic laminates with respect to bending. Compos Sci Technol 56:461-472
    • (1996) Compos Sci Technol , vol.56 , pp. 461-472
    • Paradies, R.1
  • 17
    • 0025508907 scopus 로고
    • Combining material and element rotation in one formula
    • Pedersen P (1990) Combining material and element rotation in one formula. Commun Appl Numer Methods 6:549-555
    • (1990) Commun Appl Numer Methods , vol.6 , pp. 549-555
    • Pedersen, P.1
  • 18
    • 29144439017 scopus 로고
    • Lecture notes on optimal design using anisotropic, non-linear materials
    • Cinquini C (ed). Università di Pavia, Italy, 14-17 September 1993
    • Pedersen P (1993) Lecture notes on optimal design using anisotropic, non-linear materials. In: Cinquini C (ed) Workshop on optimum structural design: analytical approach and computer aided design. Università di Pavia, Italy, 14-17 September 1993
    • (1993) Workshop on Optimum Structural Design: Analytical Approach and Computer Aided Design
    • Pedersen, P.1
  • 20
    • 0002757184 scopus 로고
    • Invariant properties of composite materials
    • Tsai SW, Halpin JC, Pagano NJ (eds). Technomic, USA
    • Tsai SW, Pagano NJ (1968) Invariant properties of composite materials. In: Tsai SW, Halpin JC, Pagano NJ (eds) Composite materials workshop. Technomic, USA, pp 233-253
    • (1968) Composite Materials Workshop , pp. 233-253
    • Tsai, S.W.1    Pagano, N.J.2
  • 21
    • 11044238751 scopus 로고    scopus 로고
    • Some exact solutions for fully orthotropic laminates
    • Valot E, Vannucci P (2005) Some exact solutions for fully orthotropic laminates. Compos Struct 69:157-166
    • (2005) Compos Struct , vol.69 , pp. 157-166
    • Valot, E.1    Vannucci, P.2
  • 23
    • 0036454251 scopus 로고    scopus 로고
    • Complete in-plane elastic characterisation under tensile tests of angle-ply laminates composed of polymer-matrix layers
    • Valot E, Vannucci P, Verchery G (2002) Complete in-plane elastic characterisation under tensile tests of angle-ply laminates composed of polymer-matrix layers. Polym Polym Compos 10:483-492
    • (2002) Polym Polym Compos , vol.10 , pp. 483-492
    • Valot, E.1    Vannucci, P.2    Verchery, G.3
  • 24
    • 0038557183 scopus 로고    scopus 로고
    • A linear theory for laminates composed of coupled layers
    • Valot E, Vannucci P, Verchery G (2003) A linear theory for laminates composed of coupled layers. Compos Struct 60:413-429
    • (2003) Compos Struct , vol.60 , pp. 413-429
    • Valot, E.1    Vannucci, P.2    Verchery, G.3
  • 25
    • 0035736612 scopus 로고    scopus 로고
    • On bending-tension coupling of laminates
    • Vannucci P (2001) On bending-tension coupling of laminates. J Elast 64:13-28
    • (2001) J Elast , vol.64 , pp. 13-28
    • Vannucci, P.1
  • 27
    • 0344625164 scopus 로고    scopus 로고
    • A special case of plane orthotropy
    • Vannucci P (2002b) A special case of plane orthotropy. J Elast 67:81-96
    • (2002) J Elast , vol.67 , pp. 81-96
    • Vannucci, P.1
  • 28
    • 0035421781 scopus 로고    scopus 로고
    • A special class of uncoupled and quasi-homogeneous laminates
    • Vannucci P, Verchery G (2001a) A special class of uncoupled and quasi-homogeneous laminates. Compos Sci Technol 61:1465-1473
    • (2001) Compos Sci Technol , vol.61 , pp. 1465-1473
    • Vannucci, P.1    Verchery, G.2
  • 29
    • 0035976655 scopus 로고    scopus 로고
    • Stiffness design of laminates using the polar method
    • Vannucci P, Verchery G (2001b) Stiffness design of laminates using the polar method. Int J Solids Struct 38:9281-9294
    • (2001) Int J Solids Struct , vol.38 , pp. 9281-9294
    • Vannucci, P.1    Verchery, G.2
  • 30
    • 0036790404 scopus 로고    scopus 로고
    • A new method for generating fully isotropic laminates
    • Vannucci P, Verchery G (2002) A new method for generating fully isotropic laminates. Compos Struct 58:75-82
    • (2002) Compos Struct , vol.58 , pp. 75-82
    • Vannucci, P.1    Verchery, G.2
  • 31
    • 0001951083 scopus 로고
    • Les invariants des tenseurs d'ordre 4 du type de l'é lasticité
    • Villard-de-Lans. CNRS, Paris, (in French)
    • Verchery G (1979) Les invariants des tenseurs d'ordre 4 du type de l'élasticité. In: Proceedings of Colloquium Euromech 115, Villard-de-Lans. CNRS, Paris, pp 93-104 (in French)
    • (1979) Proceedings of Colloquium Euromech , vol.115 , pp. 93-104
    • Verchery, G.1
  • 32
    • 2142706500 scopus 로고    scopus 로고
    • The polar method as a tool for solving inverse problems of the classical laminated plate theory
    • Tanaka M, Dulikravich GS (eds) Inverse problems in engineering mechanics II. Nagano, Japan, 7-10 March 2000. Elsevier, Amsterdam
    • Verchery G, Vannucci P, Person V (2000) The polar method as a tool for solving inverse problems of the classical laminated plate theory. In: Tanaka M, Dulikravich GS (eds) Inverse problems in engineering mechanics II. Proceedings of international symposium on inverse problems in engineering mechanics 2000, Nagano, Japan, 7-10 March 2000. Elsevier, Amsterdam, pp 317-326
    • (2000) Proceedings of International Symposium on Inverse Problems in Engineering Mechanics 2000 , pp. 317-326
    • Verchery, G.1    Vannucci, P.2    Person, V.3
  • 33
    • 0035480106 scopus 로고    scopus 로고
    • Anisotropy and symmetries for elastic properties of laminates reinforced by balanced fabrics
    • Vincenti A, Verchery G, Vannucci P (2001) Anisotropy and symmetries for elastic properties of laminates reinforced by balanced fabrics. Compos Part A Appl Sci Manuf 32:1525-1532
    • (2001) Compos Part A Appl Sci Manuf , vol.32 , pp. 1525-1532
    • Vincenti, A.1    Verchery, G.2    Vannucci, P.3
  • 35
    • 0037390495 scopus 로고    scopus 로고
    • Influence of orientation errors on quasi-homogeneity of composite materials
    • Vincenti A, Vannucci P, Verchery G (2003a) Influence of orientation errors on quasi-homogeneity of composite materials. Compos Sci Technol 63:739-749
    • (2003) Compos Sci Technol , vol.63 , pp. 739-749
    • Vincenti, A.1    Vannucci, P.2    Verchery, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.