In this paper, one of the simplest and most regular members of the family of the Meshless Local Petrov-Galerkin (MLPG) methods; namely MLPG5, is applied to analyze the thick-walled isotropic laminated cylinders under elasto-static pressure. A novel simple technique is proposed to eliminate a very important difficulty of the meshless methods to deal with material discontinuities regarding to the...

Synopsis The yield-line method of analysis provides a powerful means of identifying the ultimate load carrying capacity of reinforced concrete slabs. Benefits of the yield-line method are that it will often identify additional reserves of strength when applied to the analysis of existing slabs, and to highly economic slabs when used in design. Traditionally a hand-based method, the yield-line m...

Elastic waves are scattered by an elastic inclusion. The interface between the inclusion and the surrounding material is imperfect: the discontinuity in the displacement (traction) vector across the interface is taken to be proportional to the average of the traction (displacement) vectors on the two sides of the interface. Uniqueness theorems are obtained, and boundary integral equations over ...

Free discontinuity problems arising in the variational theory for fracture mechanics are considered.AΓ -convergence proof for an r-adaptive 3Dfinite element discretization is given in the case of a brittle material. The optimal displacement field, crack pattern and mesh geometry are obtained through a variational procedure that encompasses both mechanical and configurational forces. Possible ex...

Instead of ‘researching’ for perfected (yet rejected) solutions, IMAG-DLO stresses the need for a farmer participatory approach towards: local development of less perfect, yet accepted practical and low-cost technologies; based on simple and durable equipment designs suitable for local manufacture.

We experimentally demonstrate a novel silicon waveguide structure for guiding and confining light in nanometer-wide low-refractive-index material. The optical field in the low-index material is enhanced because of the discontinuity of the electric field at high-index-contrast interfaces. We measure a 30% reduction of the effective index of light propagating in the novel structure due to the pre...

In this paper, electromagnetic wave propagation close to a material discontinuity have been simulated. We have used summation by part (SBP) operators of second, fourth and sixth order accuracy. The boundary conditions have been imposed by the simultaneous approximation term (SAT) procedure. Stability has been shown and the order of accuracy have been verified numerically.

A refined model is presented which numerically resolves the fluid flow within a fracture inside saturated poroelastic material. At discontinuity, mass balance of solved using velocity profile fracture, with being determined from momentum in integration points at discontinuity. The resolution and discontinuity coupled to surrounding material two-scale approach. resulting monolithic scheme allows...

We show the well-posedness of a free-discontinuity model in nonlinear elasticity allowing for cavitation. The model, based on global minimization, takes into account the noninterpenetration of matter and the inhomogeneties of the material. Then we prove the existence of a quasistatic evolution corresponding to this variational model that takes into account the irreversibility of the process of ...