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- 2018
螺栓连接层合板孔边挤压应力三维分布
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Abstract:
孔边应力是复合材料连接设计中强度校核的重要依据，装配间隙对其有明显的影响。针对准各向同性铺层层合板单搭接连接结构，首先采用弹性基剪切梁模型推导了螺杆挠度的解析解，给出挤压载荷沿着层合板厚度方向的分布。在此基础上，将能计及装配间隙的二维情况下孔边挤压应力分布的Persson模型推广到三维情况，得到了孔边挤压应力分布及应力集中系数。理论结果通过三维细节有限元方法进行了验证。最后采用理论方法分析了装配间隙、层合板厚度及钉载对应力集中系数的影响。 Hole edge stress is an important basis for strength check in composite joints design, and bolt-hole clearance has obvious influence on it. For the single-lap joint structure of quasi isotropic laminated plates, the elastic foundation shear beam model was adopted and the analytical solution of the shank deflection was derived. The distribution of the bearing load along the thickness direction of the laminates was given. On this basis, the Persson model of the bearing stress distribution at the hole edge was extended to the three-dimensional case, the stress distribution and the stress concentration factor at the hole edge were obtained. The theoretical results were verified by the three-dimensional detailed finite element method. Finally, the influence of the clearance, laminates thickness and external load on stress concentration factor was analyzed by theoretical method.
| [1] | THED D J. Stresses around pin-loaded holes in elastically orthotropic or isotropic plates[J]. Journal of Composite Materials, 1977, 11(3):313-331. |
| [2] | LEKHNITSKⅡ S G, TSAI S W, CHERON T. Anisotropic plates[M]. 2nd ed. New York:Gordon and Breach, 1968. |
| [3] | NAIDU A C B, DATTAGURU B, MANGALGIRI P D, et al. Analysis of a finite composite plate with smooth rigid pin[J]. Composite Structures, 1985, 4(3):197-216. |
| [4] | ZHANG K D, UENG C E S. Stresses around a pin-loaded hole in orthotropic plates[J]. Journal of Composite Materials, 1984, 18(5):432-446. |
| [5] | ZHANG K D, UENG C E S. Stresses around a pin-loaded hole in orthotropic plates with arbitrary loading direction[J]. Composite Structures, 1985, 3(2):119-143. |
| [6] | ALUKO O, WHITWORTH H A. Analysis of stress distribution around pin loaded holes in orthotropic plates[J]. Composite Structures, 2008, 86(4):308-313. |
| [7] | THED D J. Stresses around pin-loaded holes in composite materials[M]. 2nd ed. New York:Pergamon, 1983:339-353. |
| [8] | WU T, ZHANG K, CHENG H, et al. Analytical modeling for stress distribution around interference fit holes on pinned composite plates under tensile load[J]. Composites Part B:Engineering. 2016, 100:176-185. |
| [9] | IREMAN T. Three-dimensional stress analysis of bolted single-lap composite joints[J]. Composite Structures, 1998, 43(3):195-216. |
| [10] | YANG B, PAN E, YUAN F G. Three-dimensional stress analyses in composite laminates with an elastically pinned hole[J]. International Journal of Solids and Structures, 2003, 40(8):2017-2035. |
| [11] | KAPID I Z, ANSELL H, SCH N J, et al. Quasi-static bearing failure of CFRP composite in biaxially loaded bolted joints[J]. Composite Structures, 2015, 125:60-71. |
| [12] | SONG D, LI Y, ZHANG K, et al. Stress distribution modeling for interference-fit area of each individual layer around composite laminates joint[J]. Composites Part B:Engineering, 2015, 78:469-479. |
| [13] | GRüBER B, HUFENBACH W, KROLL L, et al. Stress concentration analysis of fibre-reinforced multilayered composites with pin-loaded holes[J]. Composites Science and Technology, 2007, 67(7-8):1439-1450. |
| [14] | 寇剑锋, 徐绯, 张笑宇, 等. 考虑装配间隙的双搭接螺栓连接剪切刚度的解析求解方法[J]. 复合材料学报, 2018, 35(6):1510-1517. KOU J F, XU F, ZHANG X Y, et al. Analytical solution of shear stiffness for double-lap bolted joints with clearances[J]. Acta Materiae Compositae Sinica, 2018, 35(6):1510-1517(in Chinese). |
| [15] | WASZCZAK J P, CRUSE T A. Failure mode and strength predictions of anisotropic bolt bearing specimens[J]. Journal of Composite Materials. 1971, 5(3):421-525. |
| [16] | HYER M W, KLANG E C. Stresses around holes in pin-loaded orthotropic plates[J]. 1971, 22(12):1099-1101. |
| [17] | YAVARI V, RAJABI I, DANESHVAR F, et al. On the stress distribution around the hole in mechanically fastened joints[J]. Mechanics Research Communications. 2009, 36(3):373-380. |
| [18] | CORP D S S. Interface Modeling[M]. Abaqus Theory Guide, 2015. |
| [19] | ERIKSSON L I. Contact stresses in bolted joints of compo-site laminates[J]. Composite Structures, 1986, 6(1):57-75. |
| [20] | CIAVARELLA M, DECUZZI P. The state of stress induced by the plane frictionless cylindrical contact. Ⅱ. The general case (elastic dissimilarity)[J]. International Journal of Solids and Structures, 2001, 38(26-27):4525-4533. |
| [21] | PERSSON A. On the stress distribution of cylindrical elastic bodies in contact[D]. Goteborg:Chalmers University of Technology, 1964. |
| [22] | IYER K. Solutions for contact in pinned connections[J]. International Journal of Solids and Structures, 2001, 38(50-51):9133-9148. |
| [23] | MCCARTHY C T, MCCARTHY M A. Three-dimensional finite element analysis of single-bolt, single-lap composite bolted joints:Part Ⅱ-Effects of bolt-hole clearance[J]. Composite Structures, 2005, 71(2):159-175. |
| [24] | MCCARTHY M A, MCCARTHY C T, LAWLOR V P, et al. Three-dimensional finite element analysis of single-bolt, single-lap composite bolted joints:Part I-Model development and validation[J]. Composite Structures, 2005, 71(2):140-158. |
| [25] | ZHOU Y, YAZDANI N H, HOU C, et al. A three dimensional implicit finite element damage model and its application to single-lap multi-bolt composite joints with variable clearance[J]. Composite Structures, 2015, 131:1060-1072. |
| [26] | 姚卫星. 应力严重系数(SSF)法[M]. 北京:国防工业出版社, 2003:103-116. YAO W X. Stress severity factor(SSF) method[M]. Beijing:National Defence Industry Press, 2003:103-116(in Chinese). |
| [27] | HYER M W, KLANG E C, COOPER D E. The effects of pin elasticity, clearance, and friction on the stresses in a pin-loaded orthotropic plate[J]. Journal of Composite Materials, 1987, 21(3):190-206. |
| [28] | KELLY G, HALLSTR M S. Bearing strength of carbon fibre/epoxy laminates:Effects of bolt-hole clearance[J]. Composites Part B:Engineering, 2004, 35(4):331-343. |
| [29] | CIAVARELLA M, DECUZZI P. The state of stress induced by the plane frictionless cylindrical contact. I. The case of elastic similarity[J]. International Journal of Solids and Structures, 2001, 38(26-27):4507-4523. |
