Formulation of strain gradient plasticity with interface energy in a consistent thermodynamic framework

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dc.authoridVoyiadjis, George/0000-0002-7965-6592
dc.contributor.authorVoyiadjis, George Z.
dc.contributor.authorDeliktas, Babur
dc.date.accessioned2024-09-18T20:28:01Z
dc.date.available2024-09-18T20:28:01Z
dc.date.issued2009
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this work, the strain gradient formulation is used within the context of the thermodynamic principle, internal state variables, and thermodynamic and dissipation potentials. These in turn provide balance of momentum, boundary conditions, yield condition and flow rule, and free energy and dissipative energies. This new formulation contributes to the following important related issues: (i) the effects of interface energy that are incorporated into the formulation to address various boundary conditions, strengthening and formation of the boundary layers, (ii) nonlocal temperature effects that are crucial, for instance, for simulating the behavior of high speed machining for metallic materials using the strain gradient plasticity models, (iii) a new form of the nonlocal flow rule, (iv) physical bases of the length scale parameter and its identification using nano-indentation experiments and (v) a wide range of applications of the theory. Applications to thin films on thick substrates for various loading conditions and torsion of thin wires are investigated here along with the appropriate length scale effect on the behavior of these structures. Numerical issues of the theory are discussed and results are obtained using Matlab and Mathematica for the nonlinear ordinary differential equations (NODE) which constitute the boundary value problem. This study reveals that the micro-stress term has an important effect on the development of the boundary layers and hardening of the material at both hard and soft interface boundary conditions in thin films. The interface boundary conditions are described by the interfacial length scale and interfacial strength parameters. These parameters are important to control the size effect and hardening of the material. For more complex geometries the generalized form of the boundary value problem using the nonlocal finite element formulation is required to address the problems involved. (C) 2008 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipAFSOR through the Air Force Institute of Technology at WPAFB, Ohio [FA8601-07-P-0302]; Science and Technology Council of Turkey (TUBITAK) [2219]en_US
dc.description.sponsorshipThe first author acknowledges the financial support provided for this research by the AFSOR through the Air Force Institute of Technology at WPAFB, Ohio, under Grant No. FA8601-07-P-0302. The second author acknowledges the financial support provided for his research from the Science and Technology Council of Turkey (TUBITAK) under the 2219 International Postdoctoral Research Scholarship Program.en_US
dc.identifier.doi10.1016/j.ijplas.2008.12.014
dc.identifier.endpage2024en_US
dc.identifier.issn0749-6419
dc.identifier.issn1879-2154
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-69449097116en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1997en_US
dc.identifier.urihttps://doi.org/10.1016/j.ijplas.2008.12.014
dc.identifier.urihttps://hdl.handle.net/20.500.12483/10679
dc.identifier.volume25en_US
dc.identifier.wosWOS:000273017300008en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Plasticityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInterface energyen_US
dc.subjectThin filmsen_US
dc.subjectStrain gradient plasticityen_US
dc.subjectMicro/nano structureen_US
dc.subjectSize effectsen_US
dc.titleFormulation of strain gradient plasticity with interface energy in a consistent thermodynamic frameworken_US
dc.typeArticleen_US

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