Dynamic crack analysis in 2D elastic solids with the singular edge‐based smoothed finite element method [PDF]
AbstractThe singular edge‐based smoothed finite element method (sES‐FEM) is developed for stationary dynamic crack analysis in two‐dimensional (2D) elastic solids. The paper aims at providing a better understanding of the dynamic fracture behaviors in linear elastic solids by means of the strain smoothing technique.
Tinh Q. Bui, Chuanzeng Zhang
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Bifurcations in the regularized Ericksen bar model [PDF]
We consider the regularized Ericksen model of an elastic bar on an elastic foundation on an interval with Dirichlet boundary conditions as a two-parameter bifurcation problem.
Lord, G.J. +4 more
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Stability of singular jump-linear systems with a large state space : a two-time-scale approach [PDF]
This paper considers singular systems that involve both continuous dynamics and discrete events with the coefficients being modulated by a continuous-time Markov chain. The underlying systems have two distinct characteristics.
Yuan, Chenggui +3 more
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Determination of singularity exponents in 3D elasticity problems using enriched base functions in the Scaled Boundary Finite Element Method [PDF]
AbstractThe SBFEM is employed for the extraction of 3D stress singularity exponents and their associated deformation modes. It makes use of a separation of variables approach, which is substituted into the virtual work equation so that only parts of the boundary need to be discretized while the 3D boundary value problem is considered analytically in a ...
Sascha Hell, Wilfried Becker
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Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density [PDF]
The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional converge to critical points of
Maria Giovanna Mora +5 more
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Effective feedback control requires all state variable information of the system. However, in the translational flexible-link manipulator (TFM) system, it is unrealistic to measure the vibration signals and their time derivative of any points of the TFM ...
Jinyong Ju +4 more
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A damage model based on singular elastic fields
At re-entrant corners in elastic structures, the stress field is known to increase to infinity following a power law. From the material viewpoint it is paradoxical that it can locally sustain such an overburden. To avoid this paradox we propose a damage model where the Young's modulus of the material decreases (damage) also following a power law and ...
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Singular Higher-Order Complete Vector Bases for Finite Methods [PDF]
This paper presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and ...
Graglia, Roberto, Lombardi, Guido
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Singular random matrix decompositions: distributions. [PDF]
Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for ...
González Farías, Graciela +3 more
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On prescribing the number of singular points in a Cosserat-elastic solid [PDF]
In a geometrically non-linear Cosserat model for micro-polar elastic solids, we insert dipole pairs of singularities into smooth maps and control the amount of Cosserat energy needed to do so.
Hüsken, Vanessa
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