Prediction of the mechanical properties of micro-lattice structures subjected to multi-axial loading

Abstract The mechanical properties of micro-lattice structures subjected to a normal stress state are investigated using both a classical beam theory approach and the finite element technique. In particular, an approach for predicting the yield surface of lattice structures subjected to either a uniaxial or a biaxial stress state is proposed. In addition, the geometrical and material conditions for the occurrence of elastic buckling under a triaxial stress state are identified. The stiffness and plastic collapse strengths of the micro-lattice structures are compared with the corresponding properties of other lightweight structures. It is shown that micro-lattices offer significant potential for use in the design of lightweight cellular structures.

[1]  George M. Whitesides,et al.  Fabrication and mechanical performance of a mesoscale space-filling truss system , 2001 .

[2]  Shear Response of Three-Dimensional Micro-Lattice Structures , 2010 .

[3]  Vikram Deshpande,et al.  The compressive and shear responses of corrugated and diamond lattice materials , 2006 .

[4]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[5]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[6]  Wesley J. Cantwell,et al.  An investigation into the compressive properties of stainless steel micro-lattice structures , 2011 .

[7]  Dirk Mohr,et al.  Mechanism-based multi-surface plasticity model for ideal truss lattice materials , 2005 .

[8]  L. S. Xie,et al.  The effect of strut geometry on the yielding behaviour of open-cell foams , 2006 .

[9]  Lorna J. Gibson,et al.  Mechanical behavior of a three-dimensional truss material , 2001 .

[10]  N. J. Mills,et al.  Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells , 1997 .

[11]  M. Ashby,et al.  FOAM TOPOLOGY BENDING VERSUS STRETCHING DOMINATED ARCHITECTURES , 2001 .

[12]  Haydn N. G. Wadley,et al.  Cellular Metal Truss Core Sandwich Structures , 2002 .

[13]  L. Valdevit,et al.  Ultralight Metallic Microlattices , 2011, Science.

[14]  M. Ashby,et al.  The topological design of multifunctional cellular metals , 2001 .

[15]  John W. Hutchinson,et al.  Optimal truss plates , 2001 .

[16]  N. Fleck,et al.  Isotropic constitutive models for metallic foams , 2000 .

[17]  R. Mines,et al.  On the Characterisation of Foam and Micro‐lattice Materials used in Sandwich Construction 1 , 2008 .

[18]  N. Fleck,et al.  Collapse of truss core sandwich beams in 3-point bending , 2001 .

[19]  David J. Sypeck,et al.  Cellular Truss Core Sandwich Structures , 2005 .

[20]  Wesley J. Cantwell,et al.  The quasi-static and blast loading response of lattice structures , 2008 .

[21]  Haydn N. G. Wadley,et al.  Cellular metal lattices with hollow trusses , 2005 .

[22]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[23]  M. Ashby,et al.  Effective properties of the octet-truss lattice material , 2001 .