Comparison of Meso Finite Element Modeling Methods for Particle Reinforced Metal Matrix Composites
摘 要
以原位生成法制备的TiB2颗粒增强铁基复合材料为研究对象,通过纳米压痕试验及有限元反演分析确定基体的幂硬化模型参数,建立二维细观真实结构模型和颗粒随机分布的体胞模型,然后模拟单轴拉伸试验,用等效宏观方法计算真应力-真应变曲线,对2种模型的模拟结果进行对比,并探讨边界条件对模拟结果的影响。结果表明:边界条件对模拟单轴拉伸时的真应力-真应变曲线影响较小;2种模型模拟得到单轴拉伸的真应力-真应变曲线差异较小,且与试验结果吻合,相对误差小于5%;真实结构模型模拟得到的弹性模量与屈服强度的误差小于体胞模型;不同模型模拟得到基体与颗粒的局部微观等效应力场及应变场有明显差异。
Abstract
Taking TiB2 particle reinforced iron matrix composites prepared by in-situ formation method as research object, the parameters of power hardening model of matrix were determined by nano indentation test and finite element inverse analysis. The two-dimensional meso real structure model and body cell model with particle random distribution were established, and then the uniaxial tensile test was simulated. The true stress-true strain curve was calculated by equivalent macro method, and the simulation of the two models were compared. The effect of boundary condition on the simulation was discussed. The results show that boundary conditions had little effect on the simulated true stress-true strain curve during uniaxial tension. The true stress-true strain curves by simulating uniaxial tension with the two models had little difference, which were consistent with test results, and the relative error was less than 5%. The error of elastic modulus and yield strength by simulation with real structure model was smaller than that with body cell model. The local microscopic equivalent stress field and strain field of matrix and particle by simulation with different models were obviously different.
中图分类号 TG148 DOI 10.11973/jxgccl202204013
所属栏目 物理模拟与数值模拟
基金项目 四川省科技计划资助项目(2020YFH0102)
收稿日期 2021/6/1
修改稿日期 2022/3/7
网络出版日期
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备注刘骏华(1996-),男,河南鲁山人,硕士研究生导师:张娟副教授
引用该论文: LIU Junhua,ZHANG Juan,ZHANG Chen,HUANG Xingmin. Comparison of Meso Finite Element Modeling Methods for Particle Reinforced Metal Matrix Composites[J]. Materials for mechancial engineering, 2022, 46(4): 82~88
刘骏华,张娟,张晨,黄兴民. 颗粒增强金属基复合材料细观有限元建模方法的对比[J]. 机械工程材料, 2022, 46(4): 82~88
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【5】BÖHM H J, RASOOL A.Effects of particle shape on the thermoelastoplastic behavior of particle reinforced composites[J].International Journal of Solids and Structures, 2016, 87:90-101.
【6】CHAWLA N, SIDHU R S, GANESH V V.Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites[J].Acta Materialia, 2006, 54(6):1541-1548.
【7】宋卫东, 王静, 刘海燕.颗粒增强复合材料真实结构有限元建模[J].北京理工大学学报, 2009, 29(6):501-505. SONG W D, WANG J, LIU H Y.Finite element model of real structure for particle reinforced composites[J].Transactions of Beijing Institute of Technology, 2009, 29(6):501-505.
【8】邵军超, 刘越.颗粒增强金属基复合材料力学行为有限元模拟研究现状[J].材料导报, 2007, 21(9):111-115. SHAO J C, LIU Y.A review of finite element simulations on the mechanical behavior for particles reinforced metal matrix composites[J].Materials Review, 2007, 21(9):111-115.
【9】LATYPOV M I, SHIN S, DE COOMAN B C, et al.Micromechanical finite element analysis of strain partitioning in multiphase medium manganese TWIP+TRIP steel[J].Acta Materialia, 2016, 108:219-228.
【10】王骏思.铁素体/贝氏体双相钢在循环载荷作用下变形行为的模拟研究[D].秦皇岛:燕山大学, 2019:34-45. WANG J S.Simulation study on deformation behavior of ferrite/bainite dual-phase steel under cyclic loading[D].Qinhuangdao:Yanshan University, 2019:34-45.
【11】申刚.双相钢连续退火过程组织演变的计算模拟[D].上海:上海交通大学, 2018:35-55. SHEN G.Simulation of microstructure evolution during intercritical annealing of cold-rolled dual-phase steel[D].Shanghai:Shanghai Jiaotong University, 2018:35-55.
【12】WANG B X, QIU F, CUI W W, et al.Microstructure and tensile properties of graphite ductile iron improved by minor amount of dual-phased TiC-TiB2 nanoparticles[J].Advanced Engineering Materials, 2021, 23(8):2100246.
【13】DAO M, CHOLLACOOP N, VAN VLIET K J, et al.Computational modeling of the forward and reverse problems in instrumented sharp indentation[J].Acta Materialia, 2001, 49(19):3899-3918.
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【15】ANTUNES J M, FERNANDES J V, MENEZES L F, et al.A new approach for reverse analyses in depth-sensing indentation using numerical simulation[J].Acta Materialia, 2007, 55(1):69-81.
【16】LEE J, LEE C, KIM B.Reverse analysis of nano-indentation using different representative strains and residual indentation profiles[J].Materials & Design, 2009, 30(9):3395-3404.
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