A semi-analytical model for sheet-funnel specimens and sheet-ring specimens is proposed. The finite element analysis shows that the model is able to describe the monotonous mechanical behaviours of the two kinds of specimens. To gain the load-displacement curves of tensile tests and stable stage of cyclic tests, an uniaxial tensile test and a variable amplitude symmetric-cycle test of sheet-funnel specimens and sheet-ring specimens are carried out. Based on the model and the experimental curves, the uniaxial stress-strain relations and cyclic stress-strain relations of the specimens are predicted. The results show that the stress-strain relations and cyclic stress-strain relations predicted by sheet-funnel specimens and sheet-ring specimens are basically in agreement with those of smooth round bars.
LIU Qin
,
CAI Lixun
,
CHEN Hui
. A semi-analytical method for elastoplastic stress-strain analysis of thin sheet specimens[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018
, 39(11)
: 222169
-222180
.
DOI: 10.7527/S1000-6893.2018.22169
[1] American Society of Mechanical Engineers. Boiler and Pressure Vessel Committee. Subcommittee on Nuclear Power. Rules for construction of nuclear facility components-Class 1 components[M]. American Society of Mechanical Engineers, 2007.
[2] TRAMPUS P. Ensuring safety of structures and components at nuclear power plants[J]. Procedia Engineering, 2014, 86: 486-495.
[3] 中国国家标准化管理委员会. 金属材料轴向等幅低循环疲劳试验方法: GB/T 15248-2008[S]. 北京: 中国标准出版社, 2008. China National Standardization Management Committee. Metallic materials axial constant amplitude low cycle fatigue test method: GB/T 15248-2008[S]. Beijing: China Standard Publishing House, 2008 (in Chinese).
[4] American Society for Testing and Materials. Standard test methods for tension testing of metallic materials: E8-04[S]. West Conshohocken, PA: ASTM international, 2009.
[5] LIU J, WANG L L, LEE J, et al. Size-dependent mechanical properties in AA6082 tailor welded specimens[J]. Journal of Materials Processing Technology, 2015, 224: 169-180.
[6] GUSSEV M N, HOWERD R H, TERRANI K A, et al. Sub-size tensile specimen design for in-reactor irradiation and post-irradiation testing[J]. Nuclear Engineering and Design, 2017, 320: 298-308.
[7] LIU H, SHEN Y, YANG S, et al. A comprehensive solution to miniaturized tensile testing: Specimen geometry optimization and extraction of constitutive behaviors using inverse FEM procedure[J]. Fusion Engineering & Design, 2017, 121: 188-197.
[8] NEMAT-ALLA M. Reproducing hoop stress-strain behavior for tubular material using lateral compression test[J]. International Journal of Mechanical Sciences, 2003, 45(4): 605-621.
[9] REDDY T Y, REID S R. On obtaining material properties from the ring compression test[J]. Nuclear Engineering & Design, 1979, 52(2): 257-263.
[10] MANAHAN M P, ARGON A S, HARLING O K. The development of a miniaturized disk bend test for the determination of postirradiation mechanical properties[J]. Journal of Nuclear Materials, 1981, 104: 1545-1550.
[11] CHENG Y T. Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters[J]. Journal of Materials Research, 1999, 14(9): 3493-3496.
[12] International Organization for Standardization. Metallic materials-fatigue testing-axial-train-controlled method: ISO12106-2003[S]. London: International Organization for Standardization, 2003.
[13] READ D T, DALLY J W. Fatigue of microlithographically-patterned free-standing aluminum thin-film under axial stress[J]. Journal of Electronic Packaging, 1995, 117, 1-5.
[14] READ D T. Tension-tension fatigue of copper thin films[J]. International Journal of Fatigue, 1998, 20(3): 203-209.
[15] MELANDER A, JOHANSSON S. Prediction of fatigue life of notched sheet specimens of low and high strength steels[J]. Scandinavian Journal of Metallurgy, 1988, 17(3): 131-141.
[16] GUSTAVSSO A, MELANDER A. Variable-amplitude fatigue of a dual-phase sheet steel subjected to prestrain[J]. International Journal of Fatigue, 1994, 16(7): 503-509.
[17] FREDRIKSSON K, MELANDER A, HEDMAN M. Influence of prestraining and ageing on fatigue properties of high-strength sheet steels[J]. International Journal of Fatigue, 1988, 10(3): 139-151.
[18] MARTIN J E. Cyclic stress-strain and fatigue properties of sheet steel as affected by load spectra[J]. Testing and Evaluation, 1983, 11(1): 66-74.
[19] WISNER S B, REYNOLDS M B, ADAMSON R B. Fatigue behavior of irradiated and unirradiated zircaloy and zirconium[C]//Zirconium in the Nuclear Industry: Tenth International Symposium. West Conshohocken, PA: ASTM International, 1994, 499-520.
[20] 贾琦. 异型试样疲劳与断裂性能测试方法研究与应用[D]. 成都: 西南交通大学, 2011. JIA Q. Research and application of fatigue and fracture properties test method of non-conventional samples[D]. Chengdu: Southwest Jiao Tong University, 2011 (in Chinese).
[21] 贾琦, 蔡力勋, 包陈. 考虑循环塑性修正的薄片材料低周疲劳试验方法[J]. 工程力学, 2014, 1: 218-223. JIA Q, CAI L X, BAO C. A testing method to investigate low cycle fatigue behavior of slice materials based on cycling plasticity correction[J]. Engineering Mechanics, 2014, 1: 281-223 (in Chinese).
[22] 尹涛, 蔡力勋, 陈辉, 等. 基于毫小薄片漏斗试样的材料弹塑性循环应力应变关系测试方法研究[J]. 中国测试, 2018, 44(1): 118-128. YIN T, CAI L X, CHEN H, et al. Study on the test method of ElastoPlastic cyclic stress and strain relationship of materials based on microsheet funnel sample[ J]. Chinese Test, 2018, 44(1): 118-128.
[23] 尹涛, 蔡力勋, 陈辉, 等. 基于毫小薄片试样获取材料应变疲劳性能的测试方法[J]. 机械工程学报, 2017, 54(10): 68-77. YIN T, CAI L X, CHEN H, et al. A new test method to obtain strain fatigue properties of materials based on millimeter-scaled slice specimens[J]. 2017, 54(10): 68-77 (in Chinese).
[24] CHEN H, CAI L X. Theoretical model for predicting uniaxial stress-strain relation by dual conical indentation based on equivalent energy principle[J]. Acta Materialia, 2016, 121: 181-189.
[25] CHEN H, CAI L X. Unified elastoplastic model based on a strain energy equivalence principle[J]. Applied Mathematical Modelling, 2017,52: 664-671
[26] CHEN H, CAI L X. Unified ring-compression model for determining tensile properties of tubular materials[J]. Materials Today Communications, 2017, 13: 210-220.
[27] PENG Y Q, CAI L X, CHEN H, et al. A new method based on energy principle to predict uniaxial stress-strain relations of ductile materials by small punch testing[J]. International Journal of Mechanical Sciences, 2018, 138: 244-249.
[28] 孙训方, 方孝淑, 关来泰. 材料力学(Ι)[M]. 4版. 北京: 高等教育出版社. 2002: 21-25 SUN X F, FANG X S, GUAN L T. Mechanics of materials (I)[M]. 4th ed. Beijing: Higher Education Press, 2002: 21-25 (in Chinese)
CJA