Indirect Reconstruction of Pore Morphology for Parametric Computational Characterization of Unidirectional Porous Iron

This paper addresses the problem of reconstructing realistic, irregular pore geometries of lotus-type porous iron for computer models that allow for simple porosity and pore size variation in computational characterization of their mechanical properties. The presented methodology uses image-recognition algorithms for the statistical analysis of pore morphology in real material specimens, from which a unique fingerprint of pore morphology at a certain porosity level is derived. The representative morphology parameter is introduced and used for the indirect reconstruction of realistic and statistically representative pore morphologies, which can be used for the generation of computational models with an arbitrary porosity. Such models were subjected to parametric computer simulations to characterize the dependence of engineering elastic modulus on the porosity of lotus-type porous iron. The computational results are in excellent agreement with experimental observations, which confirms the suitability of the presented methodology of indirect pore geometry reconstruction for computational simulations of similar porous materials.

[1]  Torquato Nearest-neighbor statistics for packings of hard spheres and disks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  P. Matic,et al.  A two dimensional computational study of a gasar porous copper microstructure , 1997 .

[3]  P. Matic,et al.  A mesoscale computer simulation of multiaxial yield in gasar porous copper , 1998 .

[4]  H. Nakajima,et al.  Fabrication of Lotus‐type Porous Metals and their Physical Properties , 2004 .

[5]  H. Nakajima,et al.  Fabrication of lotus-type porous iron and its mechanical properties , 2004 .

[6]  H. Nakajima,et al.  Elastic properties of lotus-type porous iron: acoustic measurement and extended effective-mean-field theory , 2004 .

[7]  H. Nakajima,et al.  Anisotropic yield behavior of lotus-type porous iron: Measurements and micromechanical mean-field analysis , 2005 .

[8]  J. Michel,et al.  Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis , 2005 .

[9]  Three-dimensional image-based modeling of lotus-type porous carbon steel and simulation of its mechanical behavior by finite element method , 2007 .

[10]  Yuan Liu,et al.  Spatial distribution of pores in lotus-type porous metal , 2007 .

[11]  Michel Bornert,et al.  Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids , 2007 .

[12]  P. Suquet,et al.  On the influence of local fluctuations in volume fraction of constituents on the effective properties of nonlinear composites. Application to porous materials , 2007 .

[13]  Pedro P. Camanho,et al.  Generation of random distribution of fibres in long-fibre reinforced composites , 2008 .

[14]  I. Sevostianov,et al.  Effect of pore distribution on the statistics of peak stress and overall properties of porous material , 2009 .

[15]  H. Nakajima,et al.  Anisotropic Mechanical Properties of Lotus-Type Porous Metals , 2009 .

[16]  Computational Reconstruction of Scanned Aluminum Foams for Virtual Testing , 2009 .

[17]  Conor T. McCarthy,et al.  A combined experimental–numerical approach for generating statistically equivalent fibre distributions for high strength laminated composite materials , 2010 .

[18]  H. Nakajima,et al.  Investigation of the Mechanical Properties of Lotus-Type Porous Carbon Steel Made by Continuous Zone Melting Technique , 2010 .

[19]  H. Nakajima,et al.  Properties of Lotus-type Porous Metals , 2010 .

[20]  H. Nakajima,et al.  Fabrication, properties, and applications of porous metals with directional pores. , 2007, Proceedings of the Japan Academy. Series B, Physical and biological sciences.

[21]  Zhenqing Wang,et al.  Automatic generation of random distribution of fibers in long-fiber-reinforced composites and mesomechanical simulation , 2011 .

[22]  T. Bernthaler,et al.  On the Anisotropy of Lotus‐Type Porous Copper , 2012 .

[23]  H. Nakajima,et al.  Compressive properties of lotus-type porous iron , 2012 .

[24]  Lei Yang,et al.  A new method for generating random fibre distributions for fibre reinforced composites , 2013 .

[25]  L. Gorbatikh,et al.  STATISTICAL ANALYSIS OF REAL AND SIMULATED FIBRE ARRANGEMENTS IN UNIDIRECTIONAL COMPOSITES , 2013 .

[26]  T. Fiedler,et al.  Determination of the thermal conductivity of periodic APM foam models , 2014 .

[27]  K. Hokamoto,et al.  Fabrication of cylindrical uni-directional porous metal with explosive compaction , 2014 .

[28]  T. Fiedler,et al.  Compressive properties of Advanced Pore Morphology (APM) foam elements , 2014 .

[29]  L. Krstulović-Opara,et al.  Influence of the explosive treatment on the mechanical properties and microstructure of copper , 2015 .

[30]  T. Fiedler,et al.  From Stochastic Foam to Designed Structure: Balancing Cost and Performance of Cellular Metals , 2017, Materials.

[31]  V. Subramaniam porous metals , 2020, Catalysis from A to Z.