Non-welded interfaces can be treated as a displacement discontinuity characterized by elastic stiffnesses. Applying this boundary condition to a generalized Rayleigh wave, it is shown that a fast and a slow dispersive wave can propagate along the fracture, even when the seismic properties of the rock on each side are identical.

The finite displacement formulation of a quadrilateral element containing an embedded displacement discontinuity is presented. The formulation is based on the kinematically optimal technique, and some known defects of this technique are addressed. Lagrange multipliers are adopted to ensure the correct crack closure prior to initiation. Six additional degrees of freedom in each element allow the...

A numerical method is presented for stability analysis of cable–bar structures. An optimization problem is formulated to find the minimum value of the incremental total potential energy that depends on the direction of the incremental displacements. The penalty method with slack variables is used for representing the discontinuity in member stiffness. The tangent stiffness matrix is shifted to ...

We define and study a calculus of discontinuity, a version of displacement calculus, which is a logic of segmented strings in exactly the same sense that the Lambek calculus is a logic of strings. Like the Lambek calculus, the displacement calculus is a sequence logic free of structural rules, and enjoys Cut-elimination and its corollaries: the subformula property, decidability, and the finite ...

deformation pattern of the northeastern part of the iranian-arabian collision zone (i.e., mainly sanandaj-sirjan belt or zone) is the main concern of this paper. here, we investigate the stress distribution and displacement pattern of eghlid-deh bid area as affected by the position of zagros suture using a three dimensional mechanical model. the modeled area is located between the zagros thrust...

We introduce a domain decomposition structure-preserving method based on hybrid mimetic spectral element for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The is an equilibrium which satisfies pointwise of forces. established through hybridization first allows inter-element normal stress discontinuity and then enforces the continuity using Lagrange mu...

Standard Arbitrary Lagrangian-Eulerian (ALE) methods for the simulation of fluid-structure interaction (FSI) problems fail due to excessive mesh deformations when the structural displacement is large. We propose a method that successfully deals with this problem, keeping the same mesh connectivity while enforcing mesh alignment with the structure. The proposed Extended ALE Method relies on a va...