Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
Determination of the Material Intrinsic Length Scale of Gradient Plasticity Theory
SINOPSIS
The enhanced gradient plasticity theories formulate a constitutive framework on the continuum level that is used to bridge the gap between the micromechanical plasticity and the classical continuum plasticity. The later cannot predict the size effects since it does not posses an intrinsic length scale. To assess the size effects, it is indispensable to incorporate an intrinsic material length parameter l into the constitutive equations. However, the full utility of gradient-type theories hinges on one's ability to determine the constitutive length-scale parameter l that scales the gradient effects. Thus, the definition and magnitude of the intrinsic length scale are keys to the development of the new theory of plasticity that incorporates size effects. The classical continuum plasticity is also unable to predict properly the evolution of the material flow stress since the local deformation gradients at a given material point are not accounted for. The gradient-based flow stress is commonly assumed to rely on a mixed type of dislocations: those that are initially randomly or statistically distributed, which are referred to as statistically stored dislocations (SSDs), and those formed to account for the additional strengthening mechanism associated with the deformation gradients, which are referred to as geometrically necessary dislocations (GNDs). In this work two micromechanical models to assess the coupling between SSDs and GNDs are discussed. One in which the SSDs and GNDs are simply summed (model-I) and one in which, implicitly, their accompanying strength are added (model-II). These two dislocation interaction models, which are based on Taylor's hardening law, are then used to identify the deformation-gradient-related intrinsic length-scale parameter l in terms of measurable microstructural physical parameters. The paper also presents a method for identifying the material intrinsic length parameter l from micro hardness results obtained by conical or pyramidal indenters.
-
Voyiadjis George Z., Palazotto Anthony N., Al-Rub Rashid K. Abu, Constitutive Modeling and Simulation of Perforation of Targets by Projectiles, AIAA Journal, 46, 2, 2008. Crossref
-
Voyiadjis George Z., Peters Rick, Size effects in nanoindentation: an experimental and analytical study, Acta Mechanica, 211, 1-2, 2010. Crossref
-
Abu Al-Rub Rashid K., Kim Sun-Myung, Predicting mesh-independent ballistic limits for heterogeneous targets by a nonlocal damage computational framework, Composites Part B: Engineering, 40, 6, 2009. Crossref
-
Zeighampour Hamid, Tadi Beni Y., Size-dependent vibration of fluid-conveying double-walled carbon nanotubes using couple stress shell theory, Physica E: Low-dimensional Systems and Nanostructures, 61, 2014. Crossref
-
Abiri Olufunminiyi, Lindgren Lars-Erik, Non-local damage models in manufacturing simulations, European Journal of Mechanics - A/Solids, 49, 2015. Crossref
-
Beni Yaghoub Tadi, Koochi Ali, Abadyan Mohamadreza, Using Modified Couple Stress Theory for Modeling the Size-Dependent Pull-In Instability of Torsional Nano-Mirror under Casimir Force, International Journal of Optomechatronics, 8, 1, 2014. Crossref
-
Voyiadjis George Z., Zhang Cheng, The mechanical behavior during nanoindentation near the grain boundary in a bicrystal FCC metal, Materials Science and Engineering: A, 621, 2015. Crossref
-
SEDIGHI HAMID M., KOOCHI A., ABADYAN M., MODELING THE SIZE DEPENDENT STATIC AND DYNAMIC PULL-IN INSTABILITY OF CANTILEVER NANOACTUATOR BASED ON STRAIN GRADIENT THEORY, International Journal of Applied Mechanics, 06, 05, 2014. Crossref
-
Karimipour I., Kanani A., Koochi A., Keivani M., Abadyan M., Modeling the electromechanical behavior and instability threshold of NEMS bridge in electrolyte considering the size dependency and dispersion forces, Physica E: Low-dimensional Systems and Nanostructures, 74, 2015. Crossref
-
Koochi Ali, Hosseini-Toudeshky Hossein, Coupled Effect of Surface Energy and Size Effect on the Static and Dynamic Pull-In Instability of Narrow Nano-Switches, International Journal of Applied Mechanics, 07, 04, 2015. Crossref
-
Karimipour I., Kanani A., Koochi A., Keivani M., Abadyan M., Electromechanical instability of nanobridge in ionic liquid electrolyte media: influence of electrical double layer, dispersion forces and size effect, Indian Journal of Physics, 90, 5, 2016. Crossref
-
Shojaeian Milad, Beni Yaghoub Tadi, Size-dependent electromechanical buckling of functionally graded electrostatic nano-bridges, Sensors and Actuators A: Physical, 232, 2015. Crossref
-
Zeighampour Hamid, Beni Yaghoub Tadi, Mehralian Fahimeh, A shear deformable conical shell formulation in the framework of couple stress theory, Acta Mechanica, 226, 8, 2015. Crossref
-
Razavi Hamed, Babadi Asghar Faramarzi, Tadi Beni Yaghoub, Free vibration analysis of functionally graded piezoelectric cylindrical nanoshell based on consistent couple stress theory, Composite Structures, 160, 2017. Crossref
-
Keivani Maryam, Koochi Ali, Kanani Abolfazl, Navazi Hossein M., Abadyan Mohamadreza, Modeling the coupled effects of surface layer and size effect on the static and dynamic instability of narrow nano-bridge structure, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 5, 2017. Crossref
-
Koochi A., Hosseini-Toudeshky H., Abadyan M., Nonlinear beam formulation incorporating surface energy and size effect: application in nano-bridges, Applied Mathematics and Mechanics, 37, 5, 2016. Crossref
-
Mohsen-Nia Mohsen, Abadian Fateme, Abadian Naeime, Dehkordi Keivan Mosaiebi, Keivani Maryam, Abadyan Mohamadreza, Analysis of cantilever NEMS in centrifugal-fluidic systems, International Journal of Modern Physics B, 30, 22, 2016. Crossref
-
Tadi Beni Yaghoub, Mehralian Fahimeh, Zeighampour Hamid, The modified couple stress functionally graded cylindrical thin shell formulation, Mechanics of Advanced Materials and Structures, 23, 7, 2016. Crossref
-
Li Qiaomin, Zhong Wen, Liu Yuqi, Zhang Mao, Zhang Zhibing, Application of strain gradient plasticity in coining simulations of commemorative coins, International Journal of Mechanical Sciences, 133, 2017. Crossref
-
Koochi Ali, Sedighi Hamid M., Abadyan Mohamadreza, Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory, Latin American Journal of Solids and Structures, 11, 10, 2014. Crossref
-
Maniar Youssef, Metais Benjamin, Kuczynska Marta, Kabakchiev Alexander, Binkele Peter, Schmauder Siegfried, Nonlocal continuum damage mechanics approach in the Finite Element simulation of lead-free solder joints, 2017 18th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), 2017. Crossref
-
Koochi Ali, Hosseini-Toudeshky Hossein, Abadyan Mohamadreza, A corrected model for static and dynamic electromechanical instability of narrow nanotweezers: Incorporation of size effect, surface layer and finite dimensions, International Journal of Modern Physics B, 32, 08, 2018. Crossref
-
Giang N. A., Seupel A., Kuna M., Hütter G., Dislocation pile-up and cleavage: effects of strain gradient plasticity on micro-crack initiation in ferritic steel, International Journal of Fracture, 214, 1, 2018. Crossref
-
Royer Raphaël, Cahuc Olivier, Gerard Alain, Strain Gradient Plasticity Applied to Material Cutting, Advanced Materials Research, 423, 2011. Crossref
-
Voyiadjis George Z., Abu Al-Rub Rashid K., Palazotto Anthony N., Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory, International Journal of Plasticity, 20, 6, 2004. Crossref
-
Abu Al-Rub Rashid K., Voyiadjis George Z., Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments, International Journal of Plasticity, 20, 6, 2004. Crossref
-
Gomez Juan, Basaran Cemal, A thermodynamics based damage mechanics constitutive model for low cycle fatigue analysis of microelectronics solder joints incorporating size effects, International Journal of Solids and Structures, 42, 13, 2005. Crossref
-
Farahmand Hamed, Novel Plastic Modelling of Micro and Nanostructure Materials, Advanced Materials Research, 403-408, 2011. Crossref
-
Voyiadjis George Z., Song Yooseob, Strain gradient continuum plasticity theories: Theoretical, numerical and experimental investigations, International Journal of Plasticity, 121, 2019. Crossref
-
Al-Rub Rashid K. Abu, Palazotto Anthony N., Nonlocal Microdamage Constitutive Model for High Energy Impacts, in Time Dependent Constitutive Behavior and Fracture/Failure Processes, Volume 3, 2011. Crossref
-
Voyiadjis George Z., Song Yooseob, Temperature- and rate-dependent indentation size effects and material length scales, in Gradient-Enhanced Continuum Plasticity, 2020. Crossref
-
Voyiadjis George Z., Song Yooseob, Review of theoretical developments on the gradient-enhanced continuum plasticity, in Gradient-Enhanced Continuum Plasticity, 2020. Crossref
-
Voyiadjis George Z., Song Yooseob, Review of experimental observations on the gradient-enhanced continuum plasticity, in Gradient-Enhanced Continuum Plasticity, 2020. Crossref
-
Koochi Ali, Abadyan Mohamadreza, Dynamic and time-dependent equations, in Nonlinear Differential Equations in Micro/nano Mechanics, 2020. Crossref
-
Fathabadi Seyed Ali Abbaszadeh, Alinia Yadolah, A nano-scale frictional contact problem incorporating the size dependency and the surface effects, Applied Mathematical Modelling, 83, 2020. Crossref
-
Gomez Juan, Basaran Cemal, Length Scale in Solder Joints Materials, Applied Mechanics, 2006. Crossref
-
Abu Al-Rub Rashid K., Voyiadjis George Z., Palazotto Anthony N., A Micro-Damage Model for High Velocity Impact Using Combined Viscosity and Gradient Localization Limiters, Applied Mechanics, 2005. Crossref
-
Abu Al-Rub Rashid K., Voyiadjis George Z., A Dislocation Based Gradient Plasticity Theory With Applications to Size Effects, Applied Mechanics, 2005. Crossref
-
Russo Raffaele, Girot Mata Franck Andrés, Forest Samuel, Jacquin Dimitri, A Review on Strain Gradient Plasticity Approaches in Simulation of Manufacturing Processes, Journal of Manufacturing and Materials Processing, 4, 3, 2020. Crossref
-
Hadian Jazi Shahram, Nonlinear vibration of an elastically connected double Timoshenko nanobeam system carrying a moving particle based on modified couple stress theory, Archive of Applied Mechanics, 90, 12, 2020. Crossref
-
Voyiadjis George Z., Faghihi Danial, Zhang Cheng, Analytical and Experimental Determination of Rate- and Temperature-Dependent Length Scales Using Nanoindentation Experiments, Journal of Nanomechanics and Micromechanics, 1, 1, 2011. Crossref
-
Gomez Juan, Basaran Cemal, Determination of Strain Gradient Plasticity Length Scale for Microelectronics Solder Alloys, Journal of Electronic Packaging, 129, 2, 2007. Crossref
-
Keivani Maryam, Koochi Ali, Kanani Abolfazl, Mardaneh Mohammad R, Sedighi Hamid M, Abadyan Mohamadreza, Using strain gradient elasticity in conjunction with Gurtin–Murdoch theory for modeling the coupled effects of surface and size phenomena on the instability of narrow nano-switch, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231, 17, 2017. Crossref
-
Voyiadjis George Z., Coupled Viscoplastic Damage Model for Hypervelocity Impact Induced Damage in Metals and Composites, in Materials under Extreme Loadings, 2013. Crossref