Abstract

The present work focuses on the development of a theoretical model aimed at relating the mechanical properties of nanoporous metals to the bending response of thick ligaments. The model describes the structure of nanoporous metal foams in terms of an idealized regular lattice of massive cubic nodes and thick ligaments with square cross-sections. Following a general introduction to the subject, model predictions are compared with Young’s modulus and the yield strength of nanoporous Au foams determined experimentally and available in literature. It is shown that the model provides a quantitative description of the elastic and plastic deformation behavior of nanoporous metals, reproducing to a satisfactory extent the experimental Young’s modulus and yield strength values of nanoporous Au.

Highlights

  • The present study concerns the modeling description of the mechanical behavior and properties of nanoporous (NP) metal foams

  • The class of NP metal foams is identified based on its unique set of structural, physical, and chemical properties

  • The preliminary discussion of experimental findings introduces a rapid survey of the various attempts of modeling the response of NP metals to mechanical deformation which have been performed in connection with the progressive improvement of experimental investigation

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Summary

Introduction

The present study concerns the modeling description of the mechanical behavior and properties of nanoporous (NP) metal foams It aims to provide a state-of-the-art of the fundamental research activity in this specific area of investigation and show the potential of an analytical modeling approach recently developed. A recently developed analytical model for predicting Young’s modulus and yield strength is discussed In this respect, it is worth noting that the modeling of the mechanical properties of NP metal foams for a long time has been influenced by the seminal work of Gibson and Ashby from the 1980s [1]. Aimed at rationalizing the general mechanical behavior exhibited by mesoscopic foams constituted by different materials, Gibson and Ashby’s model provides a qualitative interpretation of elastic and plastic deformation based on the flexural response of a regular arrangement of connected thin beams [1,2]. Model predictions obtained for the analytically solvable cases of square and circular cross-sections are suitably compared with experimental results available in literature

From Porous to Nanoporous Materials
NP Au as the Typical Case Study
Mechanical Behavior
Phenomenological Modeling of Mechanical Properties
Ligament Deformation and Mechanical Properties in NP Au
Model Predictions
Comparison with Experimental Findings
Conclusions
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