MICHELL A G M. The limits of economy of material in frame structure[J]. Philosophical Magazine, 1904, 8(6): 589-597.
[2]
LEWINSKI T,ZHOU M,ROZVANY G I N.Extended exact solutions for least-weight truss layouts(Part I): Cantilever with a horizontal axis of symmetry[J].International Journal of Mechanical Sciences,1994,36(5):375-398.
[3]
ESCHENAUER H A,OLHOFF N.Topology optimization of continuum structures: A review[J].Applied Mechanics Reviews,2001,54(4):331-389.
[4]
ROZVANY G I N.Exact analytical solutions for some popular benchmark problems in topology optimization[J].Structural Optimization,1998,15(1):42-48.
[5]
ROZVANY G I N,BENDSOE M P.KIRSCH U.Layout optimization of structures[J].Applied Mechanics Reviews,1995,48(2):41-119.
[6]
BENDSOE M P,KIKUCHI N.Generating optimal topologies in structural design using a homogenization method[J].Computer Methods in Applied Mechanics and Engineering,1988,71(2):197-224.
[7]
XIE Yin-min,STEVEN G P.A simple evolutionary procedure for structures optimization[J].Computers and Structures,1993,49(5):885-896.
[8]
SIGMUND O,PETERSSON J.Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima[J].Structural Optimization,1998,16(1):68-75.
[9]
PRAGER W.A note on discretized Michell structures[J].Computer Methods in Applied Mechanics and Engineering,1974,3(3):349-355.
[10]
ZHOU Ke-min,LI Jun-feng.The exact weight of discretized Michell trusses for a central point load[J].Structural Optimization,2004,28(1):69-72.
[11]
HORNLEIN H R E M,KOCVARA M,WERNER R.Material optimization:bridging the gap between conceptual and preliminary design[J].Aerospace Science and Technology,2001,5(8):541-554.
[12]
HSU Y,SHO M,CHEN Chuan-tang.Interpreting results from topology optimization using density contours[J].Computers and Structures,2001,79(10):1049-1058.
[13]
MATSUI K,TERADA K.Continuous approximation of material distribution for topology optimization[J].International Journal for Numerical Methods in Engineering,2004,59(14):1925-1944.
[14]
ZHOU Ke-min,LI Xia.Topology optimization for minimum compliance using fiber-reinforced composite material model[J].Structural Optimization,2006,37(1):49-56.
[15]
ZHOU Ke-min,LI Jun-feng.Topology optimization of structures under multiple load cases using fiber-reinforced composite[J].Structural Optimization,2008,38(5):525-532.
