Paulino G H, Jin Z H. Correspondence principle in viscoelastic functionally graded materials[J]. ASME Journal of Applied Mechanics, 2001, 68(1): 129-132.
[2]
Paulino G H, Jin Z H. Viscoelastic functionally graded materials subjected to antiplane shear facture[J]. ASME Journal of Applied Mechanics, 2001, 68(2): 284-293.
[3]
李伟杰, 王保林, 张幸红. 功能梯度材料的黏弹性断裂问题[J]. 力学学报, 2008, 40(3): 402-406. Li Weijie, Wang Baolin, Zhang Xinghong. Viscoelastic fracture of a functionally graded material strip[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(3): 402-406.
[4]
彭 凡, 马庆镇, 戴宏亮. 黏弹性功能梯度材料裂纹问题的有限元方法[J]. 力学学报, 2013, 45(3): 359-366. Peng Fan, Ma Qingzhen, Dai Hongliang. Finite element method for crack problems in viscoelastic functionally graded materials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 359-366.
[5]
张淳源. 粘弹性断裂力学[M]. 武汉:华中理工大学出版社, 1994. Zhang Chunyuan. Viscoelastic fracture mechanics[M]. Wuhan: Hua zhong University of Science and Technology Press, 1994.
[6]
梁 军, 杜善义. 粘弹性复合材料力学性能的细观研究[J]. 复合材料学报, 2001, 18(1): 97-100. Liang Jun, Du Shanyi. Study of mechanical properties of viscoelastic matrix composite by micromechanics[J]. Acta Materiae Compositae Sinica, 2001, 18(1): 97-100.
[7]
彭 凡, 顾勇军, 马庆镇. 热环境中黏弹性功能梯度材料及其结构的蠕变[J]. 力学学报, 2012, 44(2):308-316. Peng Fan, Gu Yongjun, Ma Qingzhen. Creep behavior of viscoelastic functionally graded materials and structures in thermal environment[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 308-316.
[8]
Dave E V, Paulino G H, Buttlar W G, et al. Viscoelastic functionally graded finite-element method using correspondence principle[J]. Journal of Materials in Civil Engineering, 2011, 23(1): 39-48.
[9]
Santare M H, Lambros J. Use of graded finite elements to model the behavior of nonhomogeneous materials[J]. ASME Journal of Applied Mechanics, 2000, 67(4): 819-822.
[10]
Irwin G R. Analysis of stresses and strains near the end of a crack traversing a plate[J]. ASME Journal of Applied Mechanics, 1957, 24(3): 354-361.
[11]
Rybicki E F, Kanninen M F. A finite element calculation of stress intensity factors by a modified crack closure integral[J]. Engineering Fracture Mechanics, 1977, 9(4):931-938.
[12]
Raju I S. Calculation of strain-energy release rates with high-order and singular finite-elements[J]. Engineering Fracture Mechanics, 1987, 28(3): 251-274.
[13]
解 德, 钱 勤, 李长安. 断裂力学中的数值方法及工程应用[M]. 北京: 科学出版社, 2009: 8-76. Xie De, Qian Qin, Li Chang'an. Numerical method in fracture mechanics and engineering application[M]. Beijing: Science Press, 2009: 8-76.
[14]
Kim J H, Paulino G H. Finite element evaluation of mixed mode stress intensity factors in functionally graded materials[J]. International Journal for Numerical Methods in Engineering, 2002, 53(8): 1903-1935.
[15]
Bellman R, Kalaba R E, Lockett J. Numerical inversion of the Laplace transform[M]. New York: Americal Elsevier Publish Corporation, 1966: 1-135.
[16]
Swanson S R. Approximate Laplace transform inversion in dynamic viscoelasticity[J]. ASME Journal of Applied Mechanics, 1980, 47(4): 769-774.
[17]
Yin H M, Paulino G H, Buttlar W G, et al. Micromechanics-based thermoelastic model for functionally graded particulate materials with particle interactions[J]. Journal of Mechanics and Physics of Solids, 2007, 55(1): 132-160.