A new time-domain boundary element formulation for generalized models of viscoelasticity

Akay, Ahmet Arda
Gürses, Ercan
Göktepe, Serdar
The contribution is concerned with the novel algorithmic formulation for generalized models of viscoelasticity under quasi-static conditions within the framework of the boundary element method (BEM). The proposed update algorithm is constructed for a generic rheological model of linear viscoelasticity that can either be straightforwardly simplified to recover the basic Kelvin and Maxwell models or readily furthered towards the generalized models of viscoelasticity through the serial or parallel extensions. In contrast to the scarce existing rate formulations of inelasticity developed within BEM, the put forward non-iterative formulation exploits the hybrid semi-implicit update of strain-like kinematic history variables. The challenge arising from the indispensable domain integrals is overcome through the mesh-free Cartesian transformation method (CTM), complemented by the radial point integration (RPIM) technique. The excellent performance of the proposed approach is demonstrated in comparison with the corresponding analytical and finite element results for boundary-value problems with uniform and non-uniform strain fields under different representative modes and types of loading.


DERELI, T; ONDER, M; TUCKER, RW (1994-03-31)
The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relat...
A Simple Derivation of the Refined SPB for the Constant Composition Codes
Nakiboğlu, Barış (2019-07-01)
A judicious application of the Berry-Esseen theorem via the concepts of Augustin information and mean is demonstrated to be sufficient for deriving the sphere packing bound with a prefactor that is Omega(n(-0.5(1-E'sp(R,W,p)))) for the constant composition codes. The resulting non-asymptotic bounds have definite approximation error terms.
A Modal Superposition Method for the Analysis of Nonlinear Systems
Ferhatoglu, Erhan; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (2016-01-28)
In the determination of response of nonlinear structures, computational burden is always a major problem even if frequency domain methods are used. One of the methods used to decrease the computational effort is the modal superposition method for nonlinear systems where the modes of the linear system are used in the calculation. However, depending on the type of the nonlinearity, in order to obtain an accurate response, the number of modes retained in the response calculations needs to be increased, which i...
A unified approach for the formulation of interaction problems by the boundary element method
Mengi, Y; Argeso, H (Wiley, 2006-04-30)
A unified formulation is presented, based on boundary element method, in a form suitable for performing the interaction analyses by substructure method for solid-solid and soil-structure problems. The proposed formulation permits the evaluation of all the elements of impedance and input motion matrices simultaneously at a single step in terms of system matrices of the boundary element method without solving any special problem, such as, unit displacement or load problem, as required in conventional methods....
A quasi-incompressible and quasi-inextensible element formulation for transversely isotropic materials
Dal, Hüsnü (Wiley, 2019-01-06)
The contribution presents a new finite element formulation for quasi-inextensible and quasi-incompressible finite hyperelastic behavior of transeversely isotropic materials and addresses its computational aspects. The material formulation is presented in purely Eulerian setting and based on the additive decomposition of the free energy function into isotropic and anisotropic parts, where the former is further decomposed into isochoric and volumetric parts. For the quasi-incompressible response, the Q1P0 ele...
Citation Formats
A. A. Akay, E. Gürses, and S. Göktepe, “A new time-domain boundary element formulation for generalized models of viscoelasticity,” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 150, pp. 30–43, 2023, Accessed: 00, 2023. [Online]. Available: https://doi.org/10.1016/j.enganabound.2023.01.031.