TY - GEN
T1 - Prediction of scatter in fatigue properties using discrete damage mechanics
AU - Rinaldi, A.
AU - Peralta, Pedro
AU - Krajcinovic, D.
AU - Lai, Ying-Cheng
N1 - Funding Information:
This work was partially supported by the research cluster on structural health monitoring at Arizona State University, by the US National Science Foundation under grant No. DMR-9984633 and by the Mathematical, Information and Computational Science Division, Office of advanced Scientific Computing Research, US Department of Energy under contract number DE-AC05-00OR22725 with UT-Battelle, LLC. The authors desire to address a special thank to Dr S. Simunovic at ORNL for valuable support.
PY - 2005
Y1 - 2005
N2 - A model to predict the scatter on fatigue response of a "generic" material based on knowledge of the statistical variations of microstructural parameters is proposed. The model is based on Discrete Damage Mechanics (DDM), whereby microstructural elements are considered individually via a two-dimensional Delaunay lattice and its conjugate Voronoi tessellation. The elements of the lattice are modeled as truss elements with a linear elastic response and a normal distribution of static strengths. These elements represent boundaries between domains, which can be individual grains. Damage is constrained to intergranular cracking to simplify the simulation. A Baquin-type law is assumed to describe the fatigue behavior of each element and fatigue damage is accumulated via a Palmgren-Miner law. The fatigue behavior is assumed the same for all elements to study the effects of geometrical disorder and load redistributions on the macroscopic response. The lattices were cycled under strain control for 9 values of strain amplitude with zero mean strain. One hundred replicas with different local geometries were used to obtain statistics at each strain level. Results indicate that the geometrical disorder combined with load redistribution results in significant scatter in fatigue life. Further analysis indicated that the cycles to failure followed an exponential distribution at high cycles, but a lognormal distribution provided a better overall fit when low cycles were included. The macroscopic response followed a Coffin-Manson behavior, where the exponent of the power-law was essentially the same as the one used to represent the fatigue behavior of the individual elements, This indicates that lattice models can replicate the behavior observed experimentally in structural materials, while providing the advantage of making it possible to study variations in microstructural properties and geometry separately. Discussion on how to extend and calibrate the proposed model to actual material is offered.
AB - A model to predict the scatter on fatigue response of a "generic" material based on knowledge of the statistical variations of microstructural parameters is proposed. The model is based on Discrete Damage Mechanics (DDM), whereby microstructural elements are considered individually via a two-dimensional Delaunay lattice and its conjugate Voronoi tessellation. The elements of the lattice are modeled as truss elements with a linear elastic response and a normal distribution of static strengths. These elements represent boundaries between domains, which can be individual grains. Damage is constrained to intergranular cracking to simplify the simulation. A Baquin-type law is assumed to describe the fatigue behavior of each element and fatigue damage is accumulated via a Palmgren-Miner law. The fatigue behavior is assumed the same for all elements to study the effects of geometrical disorder and load redistributions on the macroscopic response. The lattices were cycled under strain control for 9 values of strain amplitude with zero mean strain. One hundred replicas with different local geometries were used to obtain statistics at each strain level. Results indicate that the geometrical disorder combined with load redistribution results in significant scatter in fatigue life. Further analysis indicated that the cycles to failure followed an exponential distribution at high cycles, but a lognormal distribution provided a better overall fit when low cycles were included. The macroscopic response followed a Coffin-Manson behavior, where the exponent of the power-law was essentially the same as the one used to represent the fatigue behavior of the individual elements, This indicates that lattice models can replicate the behavior observed experimentally in structural materials, while providing the advantage of making it possible to study variations in microstructural properties and geometry separately. Discussion on how to extend and calibrate the proposed model to actual material is offered.
KW - Fatigue Scatter
KW - Lattice Models, Microstructure, Defects
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M3 - Conference contribution
AN - SCOPUS:33244476964
SN - 0873395972
SN - 9780873395977
T3 - Materials Damage Prognosis - Proceedings of a Symposium of the Materials Science and Technology 2004 Conference
SP - 73
EP - 80
BT - Materials Damage Prognosis - Proceedings of a Symposium sponsored by the Structural Materials Division of the TMS held during the Materials Science and Technology 2004 Conference
A2 - Larsen, J.M.
A2 - Christodoulou, L.
A2 - Calcaterra, J.R.
A2 - Dent, M.L.
A2 - Derriso, M.M.
A2 - Hardman, W.J.
A2 - Wayne Jones, J.
A2 - Rusa, S.M.
T2 - Materials Damage Prognosis - a Symposium of the Materials Science and Technology 2004 Conference
Y2 - 26 September 2004 through 30 September 2004
ER -