Stress concentration in two-dimensional lattices with imperfections

Acta Mechanica

Volumn 216, Issue 1-4, 2011, Pages 105-122

  Cui, Xiaodong ^a   Zhang, Yihui ^a   Zhao, Han ^b   Lu, Tian Jian ^c   Fang, Daining ^a  

^a TSINGHUA UNIVERSITY   (China)

^b CNRS   (France)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; DEFORMATION MECHANISM; ELASTIC BOUNDARY LAYERS; EQUIVALENT MODEL; FINITE ELEMENT SIMULATIONS; ISOTROPIC LATTICES; KAGOME LATTICE; LOADING CONDITION; LOCAL STRESS; MODEL PREDICTION; PRINCIPLE OF SUPERPOSITION; RELATIVE DENSITY; RIGID INCLUSION; STRENGTH ANALYSIS; STRENGTH PERFORMANCE; STRESS CONCENTRATION FACTORS; STRESS FIELD; TRIANGULAR LATTICE; TWO-DIMENSIONAL LATTICES; VACANCY DEFECTS;

ATMOSPHERIC BOUNDARY LAYER; COMPUTER SIMULATION; FINITE ELEMENT METHOD; STRESS ANALYSIS; STRESS CONCENTRATION; VACANCIES;

DEFECTS;

EID: 79751537233     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-010-0354-1     Document Type: Article

References (30)

1. A.G. Evans J.W. Hutchinson M.F. Ashby 1998 Multifunctionality of cellular metal systems Prog. Mater. Sci. 43 171 221 10.1016/S0079-6425(98)00004-8
2. V.S. Deshpande M.F. Ashby N.A. Fleck 2001 Foam topology: bending versus stretching dominated architectures Acta Mater. 49 6 1035 1040 10.1016/S1359-6454(00)00379-7 (Pubitemid 32284694)
3. V.S. Deshpande N.A. Fleck M.F. Ashby 2001 Effective properties of the octet-truss lattice material J. Mech. Phys. Solids 49 1724 1769 10.1016/S0022-5096(01)00010-2 (Pubitemid 32645564)
4. S. Gu T.J. Lu A.G. Evans 2001 On the design of 2D cellular metals for combined heat dissipation and structural load capacity Int. J. Heat Mass Transf. 44 2163 2175 1031.74020 10.1016/S0017-9310(00)00234-9
5. T. Kim H.P. Hodson T.J. Lu 2004 Fluid-flow and endwall heat-transfer characteristics of an ultralight lattice-frame material Int. J. Heat Mass Transf. 47 1129 1140 10.1016/j.ijheatmasstransfer.2003.10.012 (Pubitemid 38070308)
6. J. Tian T. Kim T.J. Lu H.P. Hodson D.T. Queheillalt H.N.G. Wadley 2004 The effects of topology upon fluid-flow and heat-transfer within cellular copper structures Int. J. Heat Mass Transf. 47 3171 3186 1079.76638 10.1016/j.ijheatmasstransfer.2004.02.010 (Pubitemid 38616296)
7. V.S. Deshpande N.A. Fleck 2003 Energy absorption of an egg-box material J. Mech. Phys. Solids 51 187 208 1015.74522 10.1016/S0022-5096(02)00052-2 (Pubitemid 35282045)
8. N.A. Fleck V.S. Deshpande 2004 The resistance of clamped sandwich beams to shock loading J. Appl. Mech. Trans. ASME 71 3 386 401 1111.74404 10.1115/1.1629109 (Pubitemid 40122608)
9. Z. Xue J.W. Hutchinson 2004 A comparative study of blast-resistant metal sandwich plates Int. J. Impact Eng. 30 11 1283 1305 10.1016/j.ijimpeng.2003.08. 007
10. X. Qiu V.S. Deshpande N.A. Fleck 2005 Impulsive loading of clamped monolithic and sandwich beams over a central patch J. Mech. Phys. Solids 53 5 1015 1046 1120.74586 10.1016/j.jmps.2004.12.004 (Pubitemid 40303110)
11. R.G. Hutchinson N. Wicks A.G. Evans N.A. Fleck J.W. Hutchinson 2003 Kagome plate structures for actuation Int. J. Solids Struct. 40 6969 6980 1071.74033 10.1016/S0020-7683(03)00348-2 2038653 (Pubitemid 37332685)
12. N. Wicks S.D. Guest 2004 Single member actuation in large repetitive truss structures Int. J. Solids Struct. 41 965 978 1075.74570 10.1016/j.ijsolstr.2003.09.029 (Pubitemid 38086546)
13. D.D. Symons J. Shieh N.A. Fleck 2005 Actuation of the Kagome double layer grid. part 2: effect of imperfections on the measured and predicted actuation stiffness J. Mech. Phys. Solids 53 1875 1891 1120.74627 10.1016/j.jmps.2005.02. 008 2151959 (Pubitemid 40822340)
14. Gibson L.J.; Ashby M.F.: Cellular Solids: Structure and Properties, 2nd edn. Cambridge Solid State Science Series. Cambridge University Press, Cambridge (1997)
15. S. Torquato L.V. Gibiansky M.J. Silva L.J. Gibson 1998 Effective mechanical and transport properties of cellular solids Int. J. Mech. Sci. 40 71 82 0938.74057 10.1016/S0020-7403(97)00031-3 (Pubitemid 128393328)
16. J. Chung A.M. Waas 2000 The inplane elastic properties of circular cell and elliptical cell honeycombs Acta Mech. 144 29 42 0993.74014 10.1007/BF01181826 (Pubitemid 32022914)
17. J. Chung A.M. Waas 2001 In-plane biaxial crush response of polycarbonate honeycombs J. Eng. Mech. ASCE 127 2 180 193 10.1061/(ASCE)0733-9399(2001)127: 2(180) (Pubitemid 32158928)
18. M.J. Silva W.C. Hayes L.J. Gibson 1995 The effects of non-periodic microstructure on the elastic properties of two-dimensional cellular solids Int. J. Mech. Sci. 37 1161 1177 0859.73048 10.1016/0020-7403(94)00018-F
19. J.L. Grenestedt 1998 Influence of wavy imperfections in cell walls on elastic stiffness of cellular solids J. Mech. Phys. Solids 46 29 50 0945.74056 10.1016/S0022-5096(97)00035-5 (Pubitemid 128392896)
20. A.E. Simone L.J. Gibson 1998 The effects of cell face curvature and corrugations on the stiffness and strength of metallic foams Acta Mater. 46 6 2139 2150 10.1016/S1359-6454(97)00421-7 (Pubitemid 128438483)
21. C. Chen T.J. Lu N.A. Fleck 1999 Effect of imperfections on the yielding of two-dimensional foams J. Mech. Phys. Solids 47 2235 2272 0977.74011 10.1016/S0022-5096(99)00030-7 (Pubitemid 32080632)
22. J. Chung A.M. Waas 2002 Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading. Part I: experiments Int. J. Impact Eng. 27 7 729 754 10.1016/S0734-743X(02)00011-8 (Pubitemid 34623713)
23. J. Chung A.M. Waas 2002 Compressive response of circular cell polycarbonate honeycombs under inplane biaxial static and dynamic loading-Part II: simulations Int. J. Impact Eng. 27 10 1015 1047 10.1016/S0734-743X(02)00012- X
24. J. Chung A.M. Waas 2002 Elastic imperfection sensitivity of hexagonally packed circular-cell honeycombs Proc. R. Soc. A Math. Phys. Eng. Sci. 458 2851 2868 1116.74425 10.1098/rspa.2002.0976 1987516
25. Symons, D.D.; Fleck, N.A.: The imperfection sensitivity of isotropic two-dimensional elastic lattices. J. Appl. Mech. Trans. ASME 75, 051011-1-051011-8 (2008)
26. C. Chen T.J. Lu N.A. Fleck 2001 Effect of inclusions and holes on the stiffness and strength of honeycombs Int. J. Mech. Sci. 43 487 504 0988.74057 10.1016/S0020-7403(99)00122-8
27. J.C. Wallach L.J. Gibson 2001 Defect sensitivity of a 3D truss material Scr. Mater. 45 6 639 644 10.1016/S1359-6462(01)01073-9 (Pubitemid 32768130)
28. H.X. Zhu J.R. Hobdell A.H. Windle 2001 Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs J. Mech. Phys. Solids 49 857 870 1011.74057 10.1016/S0022-5096(00)00046-6 (Pubitemid 33710944)
29. N.A. Fleck X. Qiu 2007 The damage tolerance of elastic-brittle, two dimensional isotropic lattices J. Mech. Phys. Solids 55 3 562 588 05572736 10.1016/j.jmps.2006.08.004 2293670 (Pubitemid 46108824)
30. Phani, A.S.; Fleck, N.A.: Elastic boundary layers in two-dimensional isotropic lattices. J. Appl. Mech. Trans. ASME 30, 021020-1-021020-8 (2008)