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The mechanics of three-dimensional cellular materials
Lorna J. Gibson,Michael F. Ashby +1 more
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In this paper, the mechanical properties of two-dimensional cellular materials, or honeycombs, are analyzed and compared with experiments, in terms of bending, elastic buckling and plastic collapse of the beams that make up the cell walls.Abstract:
The mechanical properties (linear and nonlinear elastic and plastic) of two-dimensional cellular materials, or honeycombs, are analysed and compared with experiments. The properties are well described in terms of the bending, elastic buckling and plastic collapse of the beams that make up the cell walls.read more
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Mechanical behaviors of 3D re-entrant honeycomb polyamide structure under compression
TL;DR: In this article, a total of five 3D reentrant honeycomb (RH) specimens made of polyamide were fabricated with various configurations by using additive manufacturing (AM) technique.
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Density scaling in the mechanics of a disordered mechanical meta-material
TL;DR: In this paper, a two-dimensional disordered metamaterial was designed with unconventional stiffness-density scaling in the regime where both bending and stretching are relevant for deformation, and the mechanical meta-material covers a wide interval of the Young modulus-density plane, simultaneously exhibiting high critical stress and critical strain.
Mechanical behavior of cellular structures: A finite element study
TL;DR: In this paper, the in-plane properties of Honeycombs: Uniaxial Loading 19 Linear Elastic Deformation 20 Elastic Buckling 23 Plastic Collapse 24 Finite Element Model 27 Effective Elastic Modulus 30 Elastic Bitching 31 Plastic Behavior 31 References
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Empirical rule for predicting mechanical properties of Ti-6Al-4V bone implants with radial-gradient porosity bionic structures
TL;DR: In this article, the porosity-gradient structure was applied to the tibia bone and two different structural design methods were proposed for the radial gradient structure, namely same region thickness and same region volume.
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Some Practical Considerations for Compression Failure Characterization of Open-Cell Polyurethane Foams Using Digital Image Correlation
TL;DR: This work highlights that changes of subset and step sizes have a significant effect on the failure pattern definition and the strain magnification values, while the pattern matching criterion and the use of speckle have a minor influence on the results.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
On Growth and Form
TL;DR: This book is an application of some of the concepts of physical science and sundry mathematical methods to the study of organic form and is like one of Darwin's books, well-considered, patiently wrought-out, learned, and cautious.
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Theory of Elasticity (3rd ed.)
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The Elastic Constants of a Solid containing Spherical Holes
TL;DR: In this article, a self-consistent method for the estimation of the shear modulus and the bulk modulus is proposed, where each hole is surrounded by a spherical shell of real material, and the reaction of the rest of the material is estimated by replacing it by equivalent homogeneous material.