HE Zheng, WANG Xu-wei, Djimedo Kondo. A Meso-Micromechanics Approach to the Strength Criteria for Particle-Reinforced Radiation-Shielding Materials[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1306-1314. doi: 10.3879/j.issn.1000-0887.2015.12.009
Citation: HE Zheng, WANG Xu-wei, Djimedo Kondo. A Meso-Micromechanics Approach to the Strength Criteria for Particle-Reinforced Radiation-Shielding Materials[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1306-1314. doi: 10.3879/j.issn.1000-0887.2015.12.009

A Meso-Micromechanics Approach to the Strength Criteria for Particle-Reinforced Radiation-Shielding Materials

doi: 10.3879/j.issn.1000-0887.2015.12.009
Funds:  The National Science and Technology Major Project of China(2012ZX06004-012)
  • Received Date: 2015-01-19
  • Rev Recd Date: 2015-09-12
  • Publish Date: 2015-12-15
  • Based on the micromechanics homogenization theory, the macroscopic mechanical strength properties of radiation-shielding composite materials were investigated according to their meso-microstructures and local physical properties at micro-scale. Ductile micro-porous materials reinforced with rigid particles were studied. The strength criteria in view of the impacts of porosity and particle volume fraction were derived for metal matrix composites containing hard inclusions as well as other engineering composite materials (polymer matrix composites or geomaterials). Under the framework of the plastic limit analysis approach, the velocity field jump at meso-scale was introduced to describe the interfacial mechanical behavior between the matrix phase and the inclusion phase, and the rigid core unit cell model was applied in solution. In the end the velocity field in which the interfacial velocity equalled 0 was chosen for calculation, and the effects of the interfacial properties on the material strengths were discussed. The results show the effectiveness of the proposed multi-scale analysis framework.
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  • [1]
    Electric Power Research Institute. Handbook of neutron absorber materials for spent nuclear fuel transportation and storage applications 2006 edition[R]. USA, 2006.
    [2]
    Westing House. AP1000 standard combined license technical report-spent fuel storage racks criticality analysis[R]. USA, 2006.
    [3]
    Kok K D.Nuclear Engineering Handbook [M]. New York: CRC Press, 2009: 152.
    [4]
    戴春娟, 刘希琴, 刘子利, 刘伯路. 铝基碳化硼材料中子屏蔽性能的蒙特卡罗模拟[J]. 物理学报, 2013,62(15): 152801.(DAI Chun-juan, LIU Xi-qin, LIU Zi-li, LIU Bo-lu. The Monte Carlo simulation of neutron shielding performance of boron carbide reinforced with aluminum composites[J].Acta Physica Sinica,2013,62(15): 152801.(in Chinese))
    [5]
    王美玲, 李刚, 陈乐, 刘晓珍, 孙长龙, 刘云明, 刘超红. B4C-Al中子吸收材料拉伸性能及断裂机理[J]. 原子能科学技术, 2014 ,〖STHZ〗48(5): 883-887.(WANG Mei-ling, LI Gang, CHEN Le, LIU Xiao-zhen, SUN Chang-long, LIU Yun-ming, LIU Chao-hong. Tensile property and fracture mechanism of B4C-Al neutron absorber material[J].Atomic Energy Science and Technology,2014,48(5): 883-887. (in Chinese))
    [6]
    G?r?jeu M, Suquet P. Effective properties of porous ideally plastic or viscoplastic materials containing rigid particles[J].Journal of the Mechanics and Physics of Solids,1997,45(6): 873-902.
    [7]
    Vincent P G, Monerie Y, Suquet P. Porous materials with two populations of voids under internal pressure—I: instantaneous constitutive relations[J].International Journal of Solids and Structures,2009,46(3/4): 480-506.
    [8]
    Vincent P G, Monerie Y, Suquet P. Porous materials with two populations of voids under internal pressure—II: growth and coalescence of voids[J].International Journal of Solids and Structures,2009,46(3/4): 507-526.
    [9]
    He Z, Caratini G, Dormieux L, Kondo D. Homogenization of anisotropic elastoplastic behaviors of a porous polycrystal with interface effects[J].International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(18): 3213-3236.
    [10]
    He Z, Dormieux L, Lemarchand E, Kondo D. Cohesive Mohr-Coulomb interface effects on the strength criterion of materials with granular-based microstructure[J].European Journal of Mechanics-A/Solids,2013,42: 430-440.
    [11]
    Shen W Q, Kondo D, Dormieux L, Shao J F. A closed-form three scale model for ductile rocks with a plastically compressible porous matrix[J].Mechanics of Materials,2013,59: 73-86.
    [12]
    Maghous S, Dormieux L, Barthélémy J F. Micromechanical approach to the strength properties of frictional geomaterials[J].European Journal of Mechanics-A/Solids,2009,28(1): 179-188.
    [13]
    Castaneda P P. The effective mechanical properties of nonlinear isotropic composites[J]. Journal of the Mechanics and Physics of Solids,1991,39(1): 45-71.
    [14]
    Gurson A L. Continuum theory of ductile rupture by void nucleation and growth: part I—yield criterion and flow rules for porous ductile media[J].Journal of Engineering Materials and Technology,1977,99(1): 2-15.
    [15]
    Salenon J. An introduction to the yield design theory and its applications to soil mechanics[J].European Journal of Mechanics-A/Solids,1990,9(5): 477-500.
    [16]
    Dormieux L, Kondo D, Ulm F J. Microporomechanics [M]. New York: John Wiley & Sons, 2006.
    [17]
    Leblond J B, Perrin G, Suquet P. Exact results and approximate models for porous viscoplastic solids[J].International Journal of Plasticity,1994,10(3): 213-235.
    [18]
    He Z, Dormieux L, Kondo D. Strength properties of a Drucker-Prager porous medium reinforced by rigid particles[J].International Journal of Plasticity,2013,51: 218-240.
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