TY - JOUR
T1 - Size effects on strength, toughness and fatigue crack growth of gradient elastic solids
AU - Stamoulis, K.
AU - Giannakopoulos, A. E.
PY - 2008/9/1
Y1 - 2008/9/1
N2 - The present study investigates the microstructural size effect on the strength of a bar under axial loading, and on the toughness and crack growth of a beam under three-point bending within the framework of strain gradient elasticity. The gradient responses have been found considerably tougher as compared to the classical theory predictions and the observed deviation increases with increasing values of the non-dimensional parameter g/L (microstructural length over structural length). Based on the analytical solution of the strain energy release rate for the three-point bending case, a new, simple and universal, strain gradient elasticity, brittle fracture criterion and a new, size adjusted fatigue crack growth law have been established. Finally, the analytical predictions of the current modeling compare well with previous experimental data, based on three-point bending tests on single-edge notched concrete beams.
AB - The present study investigates the microstructural size effect on the strength of a bar under axial loading, and on the toughness and crack growth of a beam under three-point bending within the framework of strain gradient elasticity. The gradient responses have been found considerably tougher as compared to the classical theory predictions and the observed deviation increases with increasing values of the non-dimensional parameter g/L (microstructural length over structural length). Based on the analytical solution of the strain energy release rate for the three-point bending case, a new, simple and universal, strain gradient elasticity, brittle fracture criterion and a new, size adjusted fatigue crack growth law have been established. Finally, the analytical predictions of the current modeling compare well with previous experimental data, based on three-point bending tests on single-edge notched concrete beams.
KW - Crack propagation
KW - Energy release rate
KW - Fracture toughness
KW - Gradient elasticity
KW - Microstructural lengths
UR - http://www.scopus.com/inward/record.url?scp=47049117547&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2008.04.026
DO - 10.1016/j.ijsolstr.2008.04.026
M3 - Article
AN - SCOPUS:47049117547
VL - 45
SP - 4921
EP - 4935
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 18-19
ER -