Scaling laws of nanoporous metals under uniaxial compression

By N. Huber, R. N. Viswanath, N. Mameka, J. Markmann, J. Weissmuller. 2014

157 citations recorded by the source corpus.

Abstract This study is motivated by discrepancies between recent experimental compression test data of nanoporus gold and the scaling laws for strength and elasticity by Gibson and Ashby. We present a systematic theoretical investigation of the relationship between microstructure and macroscopic behaviour of nanoporous metals. The microstructure is modelled by four-coordinated spherical nodes interconnected by cylindrical struts. The node positions are randomly displaced from the lattice points of a diamond lattice. We report scaling laws for Young’s modulus and yield strength, which depend on the extension of nodal connections between the ligaments and the solid fraction. A comparison with the scaling laws of Gibson and Ashby revealed a significant deviation for the yield stress. The model was applied for identifying a continuum constitutive law for the solid fraction. Matching the model’s predicted macroscopic stress–strain behaviour to experimental data for the flow stress at large compression strain requires the incorporation of work hardening in the constitutive law. Furthermore, the amount of disorder of the node positions is decisive in matching the model results to the experimental observations of an anomalously low stiffness and an almost complete lack of transverse plastic strain.

Subfields: Cell Biology, Materials Chemistry, Renewable Energy, Sustainability and the Environment

View Paper: https://www.semanticscholar.org/paper/86fbd19ac5357d9b23c56e39c418822930d4596f

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In Materials Chemistry

In Renewable Energy, Sustainability and the Environment

Citations in the corpus

Anomalous Compliance and Early Yielding of Nanoporous Gold (2015, methodology): “and FEM [19, 20], with FEM linking the observation to microstructural disorder [20].”
Nanoporous Gold—Testing Macro-scale Samples to Probe Small-scale Mechanical Behavior (2016, background): “[22] have pointed out that structural disorder in nanoscale networks may substantially diminish the stiffness.”
Generation of 3D representative volume elements for heterogeneous materials: A review (2018, background): “One way to circumvent this problem is to involve a large number of cells, each with a form of stochastic disorder: cell ligament misalignments by using perturbed junction locations [530], missing ligaments or cells through sequential inhibition or non-uniformly distributed ligament diameters.”
3D stochastic bicontinuous microstructures: generation, topology and elasticity (2018, background): “[47], in their analysis of scaling, also acknowledged that transition but pointed further to the role of structural disorder.”