Impulsive displacement of a quasi-linear viscoelastic material through accurate numerical inversion of the Laplace transform

Chant, Lawrence J. De

doi:10.1016/s0898-1221(02)80020-7

Cited by 10 publications

(5 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [17], the authors also recommend use of the Talbot method, but this seems to be the only paper to do so. Again, with respect to viscoelastic phenomena, a few authors have used the Gaver-Stehfest technique, see for example Chatterjee and Loring [19] and De Chant [20].…”

Section: Numerical Laplace Transform Inversionmentioning

confidence: 99%

Numerical Laplace inversion in rheological characterization

Abate

2004

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

Section: Numerical Laplace Transform Inversionmentioning

confidence: 99%

Numerical Laplace inversion in rheological characterization

Abate

2004

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

“…Laplace transform method is one of the well-known methods for thermoelasticity and viscoelasticity. De Chant used the numerical inversion rule and its limitations in the asymptotic and discontinuities methods (De Chant [3]). Temel got the solutions by applying the numerical method of Durbin using the Laplace transform inversions in the real space (Temel et al [19]).…”

Section: Introductionmentioning

confidence: 99%

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

Youssef

Al-Lehaibi

2019

Bound Value Probl

View full text Add to dashboard Cite

This paper deals with a new mathematical model of three-dimensional generalized thermoelasticity which has been improved using Lord-Shulman theory. The governing equations on non-dimensional forms have been applied to a three-dimensional half-space subjected to a rectangular moving heat source and traction-free surface by using the Laplace and double Fourier transform techniques. The inverses of the double Fourier and Laplace transforms have been calculated numerically by applying the complex formula of inversion of the transform by of the Fourier expansion method. The numerical results of the temperature increment, strain, stress, and displacement distributions have been represented in graphs for various values of the heat source speed parameter to show its effect on the thermo-mechanical waves. The heat source speed parameter leads to significant effects on both the thermal and mechanical waves.

show abstract

“…Its deformation is mainly in the form of bending. The traditional calculation method always using semi-inverse method such as the displacement method and the stress method [1,2]. In the 1850s, Saint-Venant proposed the famous semi-inverse solution method.…”

Section: Introductionmentioning

confidence: 99%

Elastic bending solutions in the Hamiltonian system

Zhang¹,

Chen²

2017

Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)

View full text Add to dashboard Cite

Abstract. In this paper, we introduce the Hamiltonian system to study bending problems of elastic cantilever-beam. The variational method and the variable seperation method are employed to establish the dual governing equations. Due to the completeness property of the eigenvectors, the solution can be expressed by the linear combination of these eigenvectors, and the coefficients of the combination are determined by the boundary conditions. In the numerical results, stress distributions of bending deformation are discussed.

show abstract

Impulsive displacement of a quasi-linear viscoelastic material through accurate numerical inversion of the Laplace transform

Cited by 10 publications

References 16 publications

Numerical Laplace inversion in rheological characterization

Numerical Laplace inversion in rheological characterization

The boundary value problem of a three-dimensional generalized thermoelastic half-space subjected to moving rectangular heat source

Elastic bending solutions in the Hamiltonian system

Contact Info

Product

Resources

About