Fully coupled heat conduction and deformation analyses of visco-elastic solids

Handle URI:
http://hdl.handle.net/10754/562161
Title:
Fully coupled heat conduction and deformation analyses of visco-elastic solids
Authors:
Khan, Kamran; Muliana, Anastasia Hanifah
Abstract:
Visco-elastic materials are known for their capability of dissipating energy. This energy is converted into heat and thus changes the temperature of the materials. In addition to the dissipation effect, an external thermal stimulus can also alter the temperature in a viscoelastic body. The rate of stress relaxation (or the rate of creep) and the mechanical and physical properties of visco-elastic materials, such as polymers, vary with temperature. This study aims at understanding the effect of coupling between the thermal and mechanical response that is attributed to the dissipation of energy, heat conduction, and temperature-dependent material parameters on the overall response of visco-elastic solids. The non-linearly viscoelastic constitutive model proposed by Schapery (Further development of a thermodynamic constitutive theory: stress formulation, 1969,Mech. Time-Depend. Mater. 1:209-240, 1997) is used and modified to incorporate temperature- and stress-dependent material properties. This study also formulates a non-linear energy equation along with a dissipation function based on the Gibbs potential of Schapery (Mech. Time-Depend. Mater. 1:209-240, 1997). A numerical algorithm is formulated for analyzing a fully coupled thermo-visco-elastic response and implemented it in a general finite-element (FE) code. The non-linear stress- and temperature-dependent material parameters are found to have significant effects on the coupled thermo-visco-elastic response of polymers considered in this study. In order to obtain a realistic temperature field within the polymer visco-elastic bodies undergoing a non-uniform heat generation, the role of heat conduction cannot be ignored. © Springer Science+Business Media, B. V. 2012.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division
Publisher:
Springer Nature
Journal:
Mechanics of Time-Dependent Materials
Issue Date:
21-Apr-2012
DOI:
10.1007/s11043-012-9172-2
Type:
Article
ISSN:
13852000
Sponsors:
This research is supported by Air Force Office of Scientific Research (AFOSR) under grant FA 9550-10-1-0002.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKhan, Kamranen
dc.contributor.authorMuliana, Anastasia Hanifahen
dc.date.accessioned2015-08-03T09:46:12Zen
dc.date.available2015-08-03T09:46:12Zen
dc.date.issued2012-04-21en
dc.identifier.issn13852000en
dc.identifier.doi10.1007/s11043-012-9172-2en
dc.identifier.urihttp://hdl.handle.net/10754/562161en
dc.description.abstractVisco-elastic materials are known for their capability of dissipating energy. This energy is converted into heat and thus changes the temperature of the materials. In addition to the dissipation effect, an external thermal stimulus can also alter the temperature in a viscoelastic body. The rate of stress relaxation (or the rate of creep) and the mechanical and physical properties of visco-elastic materials, such as polymers, vary with temperature. This study aims at understanding the effect of coupling between the thermal and mechanical response that is attributed to the dissipation of energy, heat conduction, and temperature-dependent material parameters on the overall response of visco-elastic solids. The non-linearly viscoelastic constitutive model proposed by Schapery (Further development of a thermodynamic constitutive theory: stress formulation, 1969,Mech. Time-Depend. Mater. 1:209-240, 1997) is used and modified to incorporate temperature- and stress-dependent material properties. This study also formulates a non-linear energy equation along with a dissipation function based on the Gibbs potential of Schapery (Mech. Time-Depend. Mater. 1:209-240, 1997). A numerical algorithm is formulated for analyzing a fully coupled thermo-visco-elastic response and implemented it in a general finite-element (FE) code. The non-linear stress- and temperature-dependent material parameters are found to have significant effects on the coupled thermo-visco-elastic response of polymers considered in this study. In order to obtain a realistic temperature field within the polymer visco-elastic bodies undergoing a non-uniform heat generation, the role of heat conduction cannot be ignored. © Springer Science+Business Media, B. V. 2012.en
dc.description.sponsorshipThis research is supported by Air Force Office of Scientific Research (AFOSR) under grant FA 9550-10-1-0002.en
dc.publisherSpringer Natureen
dc.subjectConductionen
dc.subjectCoupled thermovisco-elasticen
dc.subjectCyclic loadingen
dc.subjectDissipationen
dc.subjectHeat generationen
dc.subjectNon-linear visco-elasticityen
dc.titleFully coupled heat conduction and deformation analyses of visco-elastic solidsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalMechanics of Time-Dependent Materialsen
dc.contributor.institutionDepartment of Mechanical Engineering, Texas A and M University, College Station, TX 77843-3123, United Statesen
kaust.authorKhan, Kamranen
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