13th International Conference on Fracture June 16–21, 2013, Beijing, China -10- There is the potential that the lattice model, if fully calibrated with curvature-free loading cases, can provide a means of determining the couple-stress constant for a material with given microstructure properties such as average particle size and distance. Acknowledgements The support from EPSRC, via Nuclear FiRST Doctoral Training Centre, to Morrison, from EPSRC via grant EP/J019763/1 and BNFL to Jivkov, and from EDF R+D to Yates is gratefully acknowledged. References [1] G.B. Sinclair, A.E. Chambers, Strength size effects and fracture mechanics: What does the physical evidence say? Eng Fract Mech 26 (1987) 279-310. [2] J. Lemaitre, Local approach of fracture. Eng Fract Mech 23 (1986) 523–537. [3] A.P. Jivkov, D.P.G. Lidbury, P. James, Assessment of Local Approach Methods for Predicting End-of-Life Toughness of RPV Steels. In Proc. PVP2011 (2011) paper 57546, Baltimore, Maryland. [4] Z.P. Bažant, S.-D. Pang, Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture. J Mech Phys Solids 55 (2007) 91–131. [5] A. Pazdniakou, P.M. Adler, Lattice Spring Models. Transp Porous Med 93 (2012) 243–262. [6] E. Schlangen, E. Garboczi, Fracture simulations of concrete using lattice models: computational aspects. Eng Fract Mech 57 (1997) 319–332. [7] N.N. Nemeth, R.L. Bratton, Overview of statistical models of fracture for nonirradiated nuclear-graphite components. Nucl Eng Design 240 (2010) 1–29. [8] P. Grassl, D. Grégoire, L. Rojas Solano, G. Pijaudier-Cabot, Meso-scale modelling of the size effect on the fracture process zone of concrete. Int J Solids Struct 49 (2012) 1818–1827. [9] A.P. Jivkov, J.R. Yates, Elastic behaviour of a regular lattice for meso-scale modelling of solids. Int J Solids Struct 49 (2012) 3089–3099. [10]A.P. Jivkov, M. Gunther, K.P. Travis. Site-bond modelling of porous quasi-brittle media. Mineral Mag 76 (2012) 94-99. [11] F. Cosserat, E. Cosserat, Theory of Deformable Bodies. A. Hermann et Fils, Paris, 1909. [12]R.D. Mindlin, Micro-structure in linear elasticity. Arch Ration Mech An 16 (1964) 51–78. [13]W. Nowacki, Theory of Asymmetric Elasticity. Pergamon Press, Oxford, 1986. [14]M. Garajeu, E. Soos, Cosserat Models Versus Crack Propagation. Math Mech Solids 8 (2003) 189–218. [15]R.A. Toupin, Theories of elasticity with couple-stress. Arch Ration Mech An 17 (1964) 85-112. [16]A.R. Hadjesfandiari, G.F. Dargush, Couple stress theory for solids. Int J Solids Struct 48 (2011) 2496–2510. [17]Y. Wang, P. Mora, Macroscopic elastic properties of regular lattices. J Mech Phys Solids 56 (2008) 3459–3474.
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