Symmetric matrix-valued transmitting boundary formulation in the time-domain for soil–structure interaction problems

“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

“…From this point of view, an investigation on proper finite element (FE) simulation [21][22][23][24][25][26][27][28][29] or regularized FE [30][31][32][33][34][35][36][37] will be welcome in order to avoid, e.g., the unpleasant occurrence of instability [38][39][40][41][42][43][44][45][46][47][48][49]. Due to the high porosity, the Biot model should probably be modified, see e.g.…”

An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

“…Specifically, it will be useful to employ a nesting form-finding procedure, typical for cable structures (as in [44,45]) in isogeometric formulation with singularities, as developed in [46,47], reducing the formulation to a standard shape optimization problem on the lengths of two portion of the cable. As the problem is of dynamical nature, the tools developed in [14,15] may also be of help. Finally, the generalization to multiple masses may entail the onset of instabilities, for the investigation of which the numerical techniques employed in [33,50,51,52,18] can be useful.…”

Time-domain instability mechanism for artificial boundary condition of semi-infinite medium described by discrete rational approximation

“…Various time-domain methods are used to convert the frequency response functions into timedomain mechanical models, which are coupled with the superstructure for time-domain analysis. Currently, commonly used time-domain methods include continued fraction expansion [5][6][7] , operator split methods [8] , rational approximation function [9][10][11][12][13] , etc. Among them, according to the computation time, the rational approximation method, compared to other current time-domain methods, is characterized by its simplicity and high applicability.…”