메뉴 건너뛰기




Volumn 51, Issue , 2013, Pages 1023-1034

Multi-scale design of composite materials and structures for maximum natural frequencies

Author keywords

Composite design; Concurrent design; Inverse homogenization; Periodic structure; Topology optimization

Indexed keywords

NATURAL FREQUENCIES; PERIODIC STRUCTURES; SHAPE OPTIMIZATION; STRUCTURAL OPTIMIZATION; STRUCTURE (COMPOSITION);

EID: 84878691365     PISSN: 02641275     EISSN: 18734197     Source Type: Journal    
DOI: 10.1016/j.matdes.2013.05.014     Document Type: Article
Times cited : (93)

References (41)
  • 1
    • 10644284474 scopus 로고
    • Materials with structural hierarchy
    • Lakes R. Materials with structural hierarchy. Nature 1993, 361:511-515.
    • (1993) Nature , vol.361 , pp. 511-515
    • Lakes, R.1
  • 4
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using homogenization method
    • Bendsøe M.P., Kikuchi N. Generating optimal topologies in structural design using homogenization method. Comput Method Appl Mech 1988, 71:197-224.
    • (1988) Comput Method Appl Mech , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 5
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • Bendsøe M.P. Optimal shape design as a material distribution problem. Struct Optimiz 1989, 1:192-202.
    • (1989) Struct Optimiz , vol.1 , pp. 192-202
    • Bendsøe, M.P.1
  • 6
    • 0000177670 scopus 로고
    • Generalized shape optimization without homogenization
    • Rozvany G.I.N., Zhou M., Birker T. Generalized shape optimization without homogenization. Struct Optimiz 1992, 4:250-254.
    • (1992) Struct Optimiz , vol.4 , pp. 250-254
    • Rozvany, G.I.N.1    Zhou, M.2    Birker, T.3
  • 7
    • 0026203039 scopus 로고
    • The COC Algorithm. Part II: Topological geometry and generalized shape optimization
    • Zhou M., Rozvany G.I.N. The COC Algorithm. Part II: Topological geometry and generalized shape optimization. Comput Method Appl Mech 1991, 89:197-224.
    • (1991) Comput Method Appl Mech , vol.89 , pp. 197-224
    • Zhou, M.1    Rozvany, G.I.N.2
  • 8
    • 0000766212 scopus 로고
    • DCOC: An optimality criteria method for large systems. Part I: Theory
    • Zhou M., Rozvany G.I.N. DCOC: An optimality criteria method for large systems. Part I: Theory. Struct Optimiz 1992, 5:12-25.
    • (1992) Struct Optimiz , vol.5 , pp. 12-25
    • Zhou, M.1    Rozvany, G.I.N.2
  • 9
    • 0023287947 scopus 로고
    • The method of moving asymptotes - a new method for structural optimization
    • Svanberg K. The method of moving asymptotes - a new method for structural optimization. Int J Numer Meth Eng 1987, 24:359-373.
    • (1987) Int J Numer Meth Eng , vol.24 , pp. 359-373
    • Svanberg, K.1
  • 10
    • 0001176192 scopus 로고    scopus 로고
    • Structrual boundary design via level set and immersed interface methods
    • Sethian J.A., Wiegmann A. Structrual boundary design via level set and immersed interface methods. J Comput Phys 2000, 163(2):489-528.
    • (2000) J Comput Phys , vol.163 , Issue.2 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 11
    • 0037414968 scopus 로고    scopus 로고
    • A level set method for structural topology optimization
    • Wang M.Y., Wang X., Guo D. A level set method for structural topology optimization. Comput Method Appl Mech 2003, 192:227-246.
    • (2003) Comput Method Appl Mech , vol.192 , pp. 227-246
    • Wang, M.Y.1    Wang, X.2    Guo, D.3
  • 12
    • 0027908013 scopus 로고
    • A simple evolutionary procedure for structural optimization
    • Xie Y.M., Steven G.P. A simple evolutionary procedure for structural optimization. Comput Struct 1993, 49:885-886.
    • (1993) Comput Struct , vol.49 , pp. 885-886
    • Xie, Y.M.1    Steven, G.P.2
  • 14
    • 55849125803 scopus 로고    scopus 로고
    • Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
    • Huang X., Xie Y.M. Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Comput Mech 2009, 43:393-401.
    • (2009) Comput Mech , vol.43 , pp. 393-401
    • Huang, X.1    Xie, Y.M.2
  • 16
    • 0029325144 scopus 로고
    • Tailoring materials with prescribed elastic properties
    • Sigmund O. Tailoring materials with prescribed elastic properties. Mech Mater 1995, 20:351-368.
    • (1995) Mech Mater , vol.20 , pp. 351-368
    • Sigmund, O.1
  • 17
    • 0033894761 scopus 로고    scopus 로고
    • Optimal design of periodic linear elastic microstructures
    • Neves M.M., Rodrigues H., Guedes J.M. Optimal design of periodic linear elastic microstructures. Comput Struct 2000, 76:421-429.
    • (2000) Comput Struct , vol.76 , pp. 421-429
    • Neves, M.M.1    Rodrigues, H.2    Guedes, J.M.3
  • 18
    • 33750450906 scopus 로고    scopus 로고
    • Design of maximum permeability material structures
    • Guest J.K., Prévost J.H. Design of maximum permeability material structures. Comput Method Appl Mech 2007, 196:1006-1017.
    • (2007) Comput Method Appl Mech , vol.196 , pp. 1006-1017
    • Guest, J.K.1    Prévost, J.H.2
  • 19
    • 34548818744 scopus 로고    scopus 로고
    • Topological design of structures and composite materials with multiobjectives
    • de Kruijf N., Zhou S., Li Q., Mai Y.W. Topological design of structures and composite materials with multiobjectives. Int J Solids Struct 2007, 44:7092-7109.
    • (2007) Int J Solids Struct , vol.44 , pp. 7092-7109
    • de Kruijf, N.1    Zhou, S.2    Li, Q.3    Mai, Y.W.4
  • 21
    • 37349026991 scopus 로고    scopus 로고
    • Scale-related topology optimization of cellular materials and structures
    • Zhang W., Sun S. Scale-related topology optimization of cellular materials and structures. Int J Numer Meth Eng 2006, 68:993-1011.
    • (2006) Int J Numer Meth Eng , vol.68 , pp. 993-1011
    • Zhang, W.1    Sun, S.2
  • 22
    • 84878689578 scopus 로고    scopus 로고
    • Hierarchical topology optimization of structures subjected to constraints on material design. In: Proceedings of international conference on engineering optimization (EngOpt 2008). Rio de Janeiro, Brazil
    • Coelho PG, Fernandes PR, Cardoso1 JB, Guedes JM, Rodrigues HC. Hierarchical topology optimization of structures subjected to constraints on material design. In: Proceedings of international conference on engineering optimization (EngOpt 2008). Rio de Janeiro, Brazil; 2008.
    • (2008)
    • Coelho, P.G.1    Fernandes, P.R.2    Cardoso1, J.B.3    Guedes, J.M.4    Rodrigues, H.C.5
  • 23
    • 42749097804 scopus 로고    scopus 로고
    • Optimum structure with homogeneous optimum truss-like material
    • Liu L., Yan J., Cheng G. Optimum structure with homogeneous optimum truss-like material. Comput Struct 2008, 86:1417-1425.
    • (2008) Comput Struct , vol.86 , pp. 1417-1425
    • Liu, L.1    Yan, J.2    Cheng, G.3
  • 24
    • 57149115360 scopus 로고    scopus 로고
    • Nonlinear mechanical properties of lattice truss materials
    • Fan H.L., Jin F.N., Fan D.N. Nonlinear mechanical properties of lattice truss materials. Mater Des 2009, 30(3):511-517.
    • (2009) Mater Des , vol.30 , Issue.3 , pp. 511-517
    • Fan, H.L.1    Jin, F.N.2    Fan, D.N.3
  • 25
    • 80053996517 scopus 로고    scopus 로고
    • A review of optimization techniques used in the design of fibre composite structures for civil engineering applications
    • Awad Z.K., Aravinthan T., Zhuge Y., Gonzalez F. A review of optimization techniques used in the design of fibre composite structures for civil engineering applications. Mater Des 2012, 33:534-544.
    • (2012) Mater Des , vol.33 , pp. 534-544
    • Awad, Z.K.1    Aravinthan, T.2    Zhuge, Y.3    Gonzalez, F.4
  • 27
    • 34249661683 scopus 로고    scopus 로고
    • Multi-objective optimization of functionally graded materials with temperature-dependent material properties
    • Goupee A.J., Vel S.S. Multi-objective optimization of functionally graded materials with temperature-dependent material properties. Mater Des 2007, 28:1861-1879.
    • (2007) Mater Des , vol.28 , pp. 1861-1879
    • Goupee, A.J.1    Vel, S.S.2
  • 28
    • 0033891005 scopus 로고    scopus 로고
    • A new class of extremal composites
    • Sigmund O. A new class of extremal composites. J Mech Phys Solids 2000, 48:397-428.
    • (2000) J Mech Phys Solids , vol.48 , pp. 397-428
    • Sigmund, O.1
  • 29
    • 75749128539 scopus 로고    scopus 로고
    • Evolutionary topological optimization of vibrating continuum structures for natural frequencies
    • Huang X., Zuo Z.H., Xie Y.M. Evolutionary topological optimization of vibrating continuum structures for natural frequencies. Comput Struct 2010, 88:357-364.
    • (2010) Comput Struct , vol.88 , pp. 357-364
    • Huang, X.1    Zuo, Z.H.2    Xie, Y.M.3
  • 30
    • 0034244686 scopus 로고    scopus 로고
    • Maximization of eigenvalues using topology optimization
    • Pedersen N.L. Maximization of eigenvalues using topology optimization. Struct Multidiscip Optimiz 2000, 20:2-11.
    • (2000) Struct Multidiscip Optimiz , vol.20 , pp. 2-11
    • Pedersen, N.L.1
  • 31
    • 34347251277 scopus 로고    scopus 로고
    • Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
    • Du J., Olhoff N. Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps. Struct Multidiscip Optimiz 2007, 34:91-110.
    • (2007) Struct Multidiscip Optimiz , vol.34 , pp. 91-110
    • Du, J.1    Olhoff, N.2
  • 32
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • Bendsøe M.P., Sigmund O. Material interpolation schemes in topology optimization. Arch Appl Mech 1999, 69:635-654.
    • (1999) Arch Appl Mech , vol.69 , pp. 635-654
    • Bendsøe, M.P.1    Sigmund, O.2
  • 33
    • 67650245464 scopus 로고    scopus 로고
    • Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency
    • Niu B., Yan J., Cheng G. Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency. Struct Multidiscip Optimiz 2009, 39:115-132.
    • (2009) Struct Multidiscip Optimiz , vol.39 , pp. 115-132
    • Niu, B.1    Yan, J.2    Cheng, G.3
  • 34
    • 84868217547 scopus 로고    scopus 로고
    • Topology optimization of microstructures of cellular materials and composites for macrostructures
    • Huang X., Zhou S.W., Xie Y.M., Li Q. Topology optimization of microstructures of cellular materials and composites for macrostructures. Comp Mater Sci 2013, 67:397-407.
    • (2013) Comp Mater Sci , vol.67 , pp. 397-407
    • Huang, X.1    Zhou, S.W.2    Xie, Y.M.3    Li, Q.4
  • 35
    • 0028697207 scopus 로고
    • Multiple eigenvalues in structural optimization problems
    • Seyranian A.P., Lund E., Olhoff N. Multiple eigenvalues in structural optimization problems. Struct Optimiz 1994, 8(4):207-227.
    • (1994) Struct Optimiz , vol.8 , Issue.4 , pp. 207-227
    • Seyranian, A.P.1    Lund, E.2    Olhoff, N.3
  • 36
    • 77951582937 scopus 로고    scopus 로고
    • An improved bi-directional evolutionary method for topology optimization for frequencies
    • Zuo Z.H., Xie Y.M., Huang X. An improved bi-directional evolutionary method for topology optimization for frequencies. Int J Struct Stab Dyn 2010, 10(1):55-75.
    • (2010) Int J Struct Stab Dyn , vol.10 , Issue.1 , pp. 55-75
    • Zuo, Z.H.1    Xie, Y.M.2    Huang, X.3
  • 37
    • 0032305382 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization I - homogenization theory for media with periodic structure
    • Hassani B., Hinton E. A review of homogenization and topology optimization I - homogenization theory for media with periodic structure. Comput Struct 1998, 69:707-717.
    • (1998) Comput Struct , vol.69 , pp. 707-717
    • Hassani, B.1    Hinton, E.2
  • 38
    • 0032301899 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations
    • Hassani B., Hinton E. A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations. Comput Struct 1998, 69:719-738.
    • (1998) Comput Struct , vol.69 , pp. 719-738
    • Hassani, B.1    Hinton, E.2
  • 39
    • 0000122856 scopus 로고    scopus 로고
    • A direct method to derive the boundary conditions of the homogenization equation for symmetric cells
    • Hassani B. A direct method to derive the boundary conditions of the homogenization equation for symmetric cells. Commun Numer Methods Eng 1996, 12:185-196.
    • (1996) Commun Numer Methods Eng , vol.12 , pp. 185-196
    • Hassani, B.1
  • 40
    • 0032137868 scopus 로고    scopus 로고
    • Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima
    • Sigmund O., Peterson J. Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Optimiz 1998, 16:68-75.
    • (1998) Struct Optimiz , vol.16 , pp. 68-75
    • Sigmund, O.1    Peterson, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.