Griffith A A. The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society of London, Series A, 1921, 221: 163-197
|
Irwin G R. Analysis of stresses and strains near the end of a crack traversing a plate. ASME Journal of Applied Mechanics, 1957, 24: 361-364
|
Sih G C. Method of analysis and solutions of crack problems. Noordhoff 1973
|
Orowan E. Energy criteria of fracture. Welding Journal, 1955, 34: 1575-1605
|
Irwin G R. Plastic zone near a crack tip and fracture toughness. In: Proc. 7th Sagamore Conference 1960, IV-63
|
Dugdale D S. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids, 1960, 8: 100-108
|
Wells A A. Unstable crack propagation in metals cleavage and fast fracture. Proceedings of the Crack Propagation Symposium, 1961, 1: 210-230
|
Rice J R. A path independent integral and the approximate analysis of strain concentration by notch and cracks. ASME Journal of Applied Mechanics, 1968, 35: 379-386
|
Cherepanov G P. The propagation of cracks in a continuous medium. Journal of Applied Mathematics and Mechanics, 1967, 31: 503-512
|
Begley J A, Landes J D. The J-integral as a fracture criterion. Fracture Toughness. In: Proceedings of the 1971 National Symposium on Fracture Mechanics Part II, ASTM STP 514, American Society for Testing and Materials, 1972, 514: 1-26
|
Kachanov L M. Time of rupture process under creep conditions. Izvestia Akademii Nauk, USSR 1958, 8: 26-31
|
Kachanov L M. Introduction to Continuum Damage Mechanics. Martinus Nijhoff Publishers, 1986
|
Bazant Z. Why continuum damage is nonlocal: Micromechanics arguments. Journal of Engineering Mechanics, 1991, 117: 1070-1087
|
Maugin G A. Material Inhomogeneities in Elasticity. London: Chapman Hall 1993.
|
Kienzler R, Herrmann, G. Mechanics of Material Space: With Applications to Defect and Fracture Mechanics. Berlin: Springer, 2000
|
Gurtin M E. Configurational Forces as Basic Concepts of Continuum Physics. Berlin: Springer, 2000
|
Chen Y H. Advances in Conservation Laws and Energy Release Rates. The Netherlands: Kluwer Academic Publishers, 2002
|
Eshelby J D. The Force on an Elastic Singularity. Philosophical Transactions of the Royal Society of London, Series A, 1951, 244: 87-112
|
Eshelby J D. The continuum theory of lattice defects. Solid State Physics, 1956, 3: 79-144
|
Eshelby J D. Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics. New York: McGraw-Hill, 1970
|
Eshelby J D. The elastic energy-momentum tensor. Journal of Elasticity, 1975, 5: 321-335
|
Knowles J K, Sternberg E. On a class of conservation laws in linearized and finite elastostatics. Archive for Rational Mechanics and Analysis, 1972, 44: 187-211
|
Noether E. Invariante variationsprobleme. Nuchrichten van der Gesellschaft der Wissenschuften zu Göttingen Mathematisch-physikalische Klasse, 1918, 2: 235 Nuchrichten van der Gesellschaft der Wissenschuften zu G">
|
Budiansky B, Rice J R. Conservation laws and energy release rates. ASME Journal of Applied Mechanics, 1973, 40: 201-203
|
Kanninen M F, Poplar C F. Advanced Fracture Mechanics. New York: Oxford University Press, 1985
|
Herrmann A G, Herrmann G. On energy-release rates for a plane crack. Journal of Applied Mechanics, 1981, 48: 525-530
|
Chen Y Z. A survey of new integral equations in plane elasticity crack problem. Engineering Fracture Mechanics, 1995, 51: 97-134
|
Gurtin M E, Podio-Guidugli P. Configurational forces and the basic laws for crack propagation. Journal of the Mechanics and Physics of Solids, 1996, 44: 905-927
|
Gurtin M E, Shvartsman M M. Configurational forces and the dynamics of planar cracks in three-dimensional bodies. Journal of Elasticity, 1997, 48: 167-191
|
Steinmann P. Application of material forces to hyper-elastostatic fracture mechanics. I. Continuum mechanical setting. International Journal of Solids and Structures, 2000, 37: 7371-7391
|
Steinmann P, Ackermann D, Barth F J. Application of material forces to hyper- elastostatic fracture mechanics. II. Computational setting. International Journal of Solids and Structures, 2001, 38: 5509-5526
|
Kienzler R, Herrmann G. On the properties of the Eshelby tensor. Acta Mechanica, 1997, 125: 73-91
|
Kienzler R, Herrmann G. Fracture criteria based on local properties of the Eshelby tensor. Mechanics Research Communications, 2002, 29: 521-527
|
Larsson R, Fagerström M. A framework for fracture modeling based on the material forces concept with XFEM kinematics. International Journal for Numerical Methods in Engineering, 2005, 62: 1763-1788
|
Mueller R, Maugin G A. On material forces and finite element discretizations. Computational Mechanics 2002, 29: 52-60
|
Mueller R, Kolling S, Gross D. On configurational forces in the context of the finite element method. International Journal for Numerical Methods in Engineering, 2002, 53: 1557-1574
|
Liebe T, Denzer R, Steinmann P. Application of the material force method to isotropic continuum damage. Computational Mechanics, 2003, 30: 171-184
|
Chen Y Z. Analysis of L-integral and theory of the derivative stress field in plane elasticity. International Journal of Solids and Structures, 2003, 40: 3589-3602
|
Chen Y Z, Hasebe N, Lee K Y. Multiple Crack Problems in Elasticity. Southampton: WIT Press, 2003
|
Simha N K, Fischer F D, Kolednik O, et al. Inhomogeneity effects on the crack driving force in elastic and elastic-plastic materials. Journal of the Mechanics and Physics of Solids, 2003, 51: 209-240
|
Chen Y Z, Lee K Y. Analysis of the M-integral in plane elasticity. ASME Journal of Applied Mechanics, 2004, 71: 572-574
|
Mueller R, Gross D, Maugin G A. Use of material forces in adaptive finite element methods. Computational Mechanics, 2004, 33: 421-434
|
Nguyen T D, Govindjee S, Klein P A, et al. A material force method for inelastic fracture mechanics. Journal of the Mechanics and Physics of Solids, 2005, 53: 91-121
|
Fagerström M, Larsson R. Approaches to dynamic fracture modeling at finite deformations. Journal of the Mechanics and Physics of Solids, 2008, 56: 613-639
|
Agiasofitou E K, Kalpakides V K. The concept of balance law for a cracked elastic body and the configurational force and moment at the crack tip. International Journal of Engineering Science, 2006, 44: 127-139
|
Lubarda V, Markenscoff X. Complementary energy release rates and dual conservation integrals in micropolar elasticity. Journal of the Mechanics and Physics of Solids, 2007, 55: 2055-2072
|
Li Q, Chen Y H. Inherent relations between the Bueckner integral and the Jk-integral or the M-integral in multi-defects damaged piezoelectric materials. Acta Mechanica, 2009, 204: 125-136
|
Xu B X, Schrade D, Mueller R, et al. Micromechanical analysis of ferroelectric structures by a phase field method. Computation Materials Science, 2009, 45: 832-836
|
Yu N Y, Li Q. Failure theory via the concept of material configurational forces associated with the M-integral. International Journal of Solids and Structures, 2013, 50: 4320-4332
|
贺启林. 基于J积分和构型力理论的材料断裂行为研究. 哈尔滨: 哈尔滨工业大学, 2010 (He Qilin. Study of Material Fracture Behavior Based on J-integral and Configurational Force Theory. Harbin: Harbin Institute of Technology, 2010 (in Chinese))
|
周荣欣. 裂纹与夹杂之间的构型力及II型裂纹裂尖塑性区的屏蔽效应. 上海: 上海交通大学, 2012 (Zhou Rongxin. The Configuration Force Between Crack and Inclusion & the Shielding Effects of Plastic Zone at Mode II Crack Tip. Shanghai: Shanghai Jiao Tong University, 2012 (in Chinese))
|
Li Q, Chen Y H. Surface effect and size dependent on the energy release due to a nanosized hole expansion in plane elastic materials. ASME Journal of Applied Mechanics, 2008, 75: 061008
|
Hui T, Chen Y H. The M-integral analysis for a nano-inclusion in plane elastic materials under uni-axial or bi-axial loadings. ASME Journal of Applied Mechanics, 2010, 77: 021019
|
Hui T, Chen Y H. Two state M-integral analyses for a nano-inclusion in plane elastic materials under uni-axial or bi-axial loadings. ASME Journal of Applied Mechanics, 2010, 77: 024505
|
Li Q, Kuna M. Evaluation of electromechanical fracture behavior by configurational forces in cracked ferroelectric polycrystals. Computational Materials Science, 2012, 57: 94-101
|
Li Q, Kuna M. Inhomogeneity and material configurational forces in three dimensional ferroelectric polycrystals. European Journal of Mechanics A/Solids, 2012, 31: 77-89
|
Li Z, Yang L. The application of the Eshelby equivalent inclusion method for unifying modulus and transformation toughening. International Journal of Solids and Structure, 2002, 39: 5225-5240
|
Li Z, Chen Q. Crack-inclusion for mode-I crack analyzed by Eshelby equivalent inclusion method. International Journal of Fracture 2002, 118: 29-40
|
Yang L, Chen Q, Li Z. Crack-inclusion interaction for mode-II crack analyzed by Eshelby equivalent inclusion method. Engineering Fracture Mechanics, 2004, 71: 1421-1433
|
Zhou R, Li Z, Sun J. Crack deflection and interface debonding in composite materials elucidated by the configuration force theory. Composites Part B: Engineering, 2011, 42: 1999-2003
|
Chen Y H. M-integral analysis for two-dimensional solids with strongly interacting microcracks. Part 1: In an infinite brittle solid. International Journal of Solids and Structures, 2001, 38: 3193-3212
|
Chen Y H. M-integral analysis for two-dimensional solids with strongly interacting microcracks. Part 2: In the brittle phase of an infinite metal/ceramic bimaterial. International Journal of Solids and Structures, 2001, 38: 3213-3232
|
Ma L F, Chen Y H, Liu C S. On the relation between the M-integral and the change of the total potential energy in damaged brittle solids. Acta Mechanica, 2001, 150: 79-85
|
Chang J H, Chien A J. Evaluation of M-integral for anisotropic elastic media with multiple defects. International Journal of Fracture, 2002, 114: 267-289
|
Chang J H, Peng D J. Use of M integral for rubbery material problems containing multiple defects. Journal of Engineering Mechanics, 2004, 130: 589-598
|
Chang J H, Wu W H. Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions. International Journal of Solid and Structure, 2011, 48: 2605-2613
|
Wang F W, Chen Y H. Fatigue damage driving force based on the M-integral concept. Procedia Engineering, 2010, 2: 231-239
|
Eischen J, Herrmann G. Energy release rates and related balance laws in linear elastic defect mechanics. Journal of Applied Mechanics, 1987, 54: 388-392
|
Li Q, Hu Y F, Chen Y H. On the physical interpretation of the M-integral in nonlinear elastic defect mechanics. International Journal of Damage Mechanics 2012, 22: 602-613
|
Guo Y L, Li Q. On some fundamental properties of the L-integral in plane elasticity, Acta Mechanica, 2014, DOI 10.1007/s00707-014-1152-y
|
Lü J N, Li Q. The newly proposed yielding and fracture criteria by the material configurational stress tensor. Submitted, 2014
|
于宁宇, 李群. M 积分与夹杂/缺陷弹性模量的显式关系. 力学学报 2014, 46: 87-93 (Yu Ningyu, Li Qun. The explicit relation between the M-integral and the elastic moduli of inclusion/damages. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46: 87-93 (in Chinese))
|
King R, Herrmann G. Nondestructive evaluation of the J and M integrals. ASME Journal of Applied Mechanics, 1981, 48: 83-87
|
Yu N Y, Li Q, Chen Y H. Measurement of the M-integral for a hole in an aluminum plate or strip. Experimental Mechanics, 2012, 52: 855-863
|
Yu N Y, Li Q, Chen Y H. Experimental evaluation of the M-integral in an elastic-plastic material containing multiple defects. ASME Journal of Applied Mechanics, 2013, 80: 011021
|
于宁宇, 李群. 基于数字散斑相关实验测量的材料构型力的计算方法. 实验力学 2014, DOI:10.7520/1001-4888-13-132 (Yu Ningyu, Li Qun. On the algorithm of material configurational force based on digital image correlation measurement. Journal of Experimental Mechanics, 2014, DOI:10.7520/1001-4888-13-132 (in Chinese))
|
Hu Y F, Li Q, Shi J P, et al. Surface/interface effect and size/configuration dependence on the energy release in nanoporous membrane. Journal of Applied Physics, 2012, 112: 034302
|
Pan S X, Hu Y F, Li Q. Numerical simulation of mechanical properties in nanoporous membrane. Computational Materials Science, 2013, 79: 611-618
|
Gurtin M E, Murdoch A I. A continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis, 1975, 57: 291-323
|
Mogilevskaya S G, Crouch S L, Stolarski H K. Multiple interacting circular nano-inhomogeneities with surface/interface effects. Journal of the Mechanics and Physics of Solids, 2008, 56: 2298-2327
|
Huber J E, Fleck N A, Landis C M, et al. A constitutive model for ferroelectric polycrystals. Journal of the Mechanics and Physics of Solids, 1999, 47: 1663-1697
|