TY - JOUR
T1 - A second gradient elasto-plastic model for fatigue of small-scale metal components
AU - Stamoulis, K.
AU - Giannakopoulos, A. E.
PY - 2010/3/1
Y1 - 2010/3/1
N2 - Purpose – As the dimensions of structures are scaled down to the micro and nanodomains, the mechanical behavior becomes size dependent and thus, the classical elasticity solutions cannot be expected to hold. In particular, recent experimental investigations of fatigue strength of metals show pronounced strengthening due to the influences of both grain size and small geometrical dimensions. This paper aims to provide a simple, yet rigorous analytical model in order to address the aforementioned size effects. Design/methodology/approach – The present study employs a framework based on the type II, strain gradient elasticity theory by Mindlin, embedded into a thermodynamicsbased formulation which considers both mechanical behavior parameters and material lengths, as internal variables, in order to model metal fatigue. Findings – A thermodynamicsbased, second gradient elastoplastic formulation with an explicit material length, which captures the size effects in fatigue of smallscale metal components, has been established. From a physical viewpoint, the evolution of the internal length in the constitutive equations with the evolution of the intrinsic wavelength (e.g. persistent slip bands spacing) can be identified signifying the splitting of the grains into subregions and consequently, the softening of the material. Originality/value – The major novelty of the proposed modeling is that the internal characteristic length considered is not a fixed parameter, but evolves with the plastic effective strain amplitude obtained from cyclic loading.
AB - Purpose – As the dimensions of structures are scaled down to the micro and nanodomains, the mechanical behavior becomes size dependent and thus, the classical elasticity solutions cannot be expected to hold. In particular, recent experimental investigations of fatigue strength of metals show pronounced strengthening due to the influences of both grain size and small geometrical dimensions. This paper aims to provide a simple, yet rigorous analytical model in order to address the aforementioned size effects. Design/methodology/approach – The present study employs a framework based on the type II, strain gradient elasticity theory by Mindlin, embedded into a thermodynamicsbased formulation which considers both mechanical behavior parameters and material lengths, as internal variables, in order to model metal fatigue. Findings – A thermodynamicsbased, second gradient elastoplastic formulation with an explicit material length, which captures the size effects in fatigue of smallscale metal components, has been established. From a physical viewpoint, the evolution of the internal length in the constitutive equations with the evolution of the intrinsic wavelength (e.g. persistent slip bands spacing) can be identified signifying the splitting of the grains into subregions and consequently, the softening of the material. Originality/value – The major novelty of the proposed modeling is that the internal characteristic length considered is not a fixed parameter, but evolves with the plastic effective strain amplitude obtained from cyclic loading.
KW - Elasticity
KW - Electromechanical devices
KW - Fatigue
KW - Slip
UR - http://www.scopus.com/inward/record.url?scp=79954991067&partnerID=8YFLogxK
U2 - 10.1108/17579861011092355
DO - 10.1108/17579861011092355
M3 - Article
AN - SCOPUS:79954991067
VL - 1
SP - 193
EP - 208
JO - International Journal of Structural Integrity
JF - International Journal of Structural Integrity
SN - 1757-9864
IS - 3
ER -