The use of dual reciprocity boundary element method in coupled thermoviscoelasticity

Baranoğlu, Besim; Mengi, Y.

doi:10.1016/j.cma.2006.07.003

Cited by 7 publications

(2 citation statements)

References 16 publications

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“…where t G r , G, and G g are the retardation time, the equilibrium value, and the instantaneous value of relaxation function associated with shear modulus, respectively (Baranoglu and Mengi, 2006;Eratlı et al, 2014;Mengi and Argeso, 2006). The proposed form of the complex bulk modulus is expressed by…”

Section: Viscoelastic Modelmentioning

confidence: 99%

Parametric analysis of viscoelastic hyperboloidal helical rod

Ermis

Eratlı

Argeso

et al. 2016

Advances in Structural Engineering

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The objective of this study is to perform a pioneering research about a viscoelastic hyperboloidal helical rod having a standard type of distortional behavior and a Kelvin type of bulk compressibility. Field equations are based on the Timoshenko beam theory, and the exact curvatures of the hyperboloidal geometry are considered through the formulation. The numerical analysis is carried out by the mixed finite element method, considering the rotary inertia, in the Laplace space, and the results are transformed back to time space numerically using the modified Durbin's algorithm. A cantilevered hyperboloidal helical rod having solid circular, hollow circular, and thin-walled hollow circular cross sections is handled, and the rod is loaded by rectangular and triangular impulsive types of point load at the tip. Through the analysis, different values of retardation time, three different relaxation functions associated with shear modulus, and three different creep functions associated with bulk modulus are handled. Finally, a benchmark example is presented, and the influence of the loading and the material parameters on the helix geometry is discussed.

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Section: Viscoelastic Modelmentioning

confidence: 99%

Parametric analysis of viscoelastic hyperboloidal helical rod

Ermis

Eratlı

Argeso

et al. 2016

Advances in Structural Engineering

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“…Rivera and Jiang [10] considered the thermo elastic and viscoelastic contact problem of two rods and proved the existence of a weak solution using a penalization method. Baranoglu and Mengi [11] developed a boundary element method in a unified form for the analysis of both coupled and uncoupled thermoviscoelastic problems. Chang et al [12] utilized the viscoelastic theorem to derive the thermoviscoelastic stress states in a thin film/substrate structure, and obtained a closed-form expression of the stress.…”

Section: Introductionmentioning

confidence: 99%

An FEM Approach for Three-Dimensional Thermoviscoelastic Stress Analysis of Orthotropic Cylinders Made of Polymers

Ashrafi

Keshmiri

Bahadori

et al. 2013

AMR

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The objective of this study is to develop a general finite element formulation associated with an incremental adaptive procedure which established for thermoviscoelastic stress analysis of orthotropic cylinders made of polymers. This paper concerned with development of a numerical algorithm for the solution of the quasistatic initial/boundary value problems involving the linear viscoelastic media with thermal and mechanical deformations. The viscoelastic constitutive equations, represented in an integral form and involving relaxation functions, are transformed into an incremental algebraic relation. An incremental relaxation is then developed for the finite element formulation to deal with quasistatic thermoviscoelastic problems.

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Boundary Integral Equation Formulation for Fractional Order Theory of Thermo-Viscoelasticity

Elhagary

2021

Topics in Integral and Integro-Differential Equations

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The use of dual reciprocity boundary element method in coupled thermoviscoelasticity

Cited by 7 publications

References 16 publications

Parametric analysis of viscoelastic hyperboloidal helical rod

Parametric analysis of viscoelastic hyperboloidal helical rod

An FEM Approach for Three-Dimensional Thermoviscoelastic Stress Analysis of Orthotropic Cylinders Made of Polymers

Boundary Integral Equation Formulation for Fractional Order Theory of Thermo-Viscoelasticity

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