A meshfree method for nonlinear analysis of two-dimensional reinforced concrete structures subjected to monotonic static loading is presented. The concrete model is implemented in the context of the smeared rotating crack approach. The stress-strain relationship for steel bars accounts for the surrounding concrete bonded to the bar (tension stiffening effect). The principle of virtual work (var...

The method of fundamental solutions (MFS) is a boundary-type and truly meshfree method, which recognized as an efficient numerical tool for solving boundary value problems. geometrical shape, conditions, applied loads can be easily modeled in the MFS. This capability makes MFS particularly suitable shape optimization, moving load, inverse However, it observed that standard lead to inaccurate so...

A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay tessellation (three-node triangles and four-node tetrahedra), which is used to form the meshfree basis functions and to numerically integrate the weak form integrals. In the proposed approach for nearly-inc...

This paper concerns a numerical study of convergence properties of the boundary knot method (BKM) applied to the solution of 2D and 3D homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. The BKM is a new boundary-type, meshfree radial function basis collocation technique. The method differentiates from the method of fundamental solutions (MFS) in that it does not need ...

Computer Aided Design (CAD) is widely used in the creation and optimization of various industrial systems processes. Transforming a CAD geometry into computational discretization that be to solve PDEs requires care deep knowledge selected method. In this article, we present novel integrated collocation scheme based on smart clouds. It allows us transform complete point model, aware base geometr...

in this paper, the linearly conforming enriched radial basis point interpolation method is implemented for the elasto-plastic analysis of discontinuous medium. the linear conformability of the method is satisfied by the application of stabilized nodal integration and the enrichment of radial basis functions is achieved by the addition of linear polynomial terms. to implement the method for the ...

A multiscale meshfree particle method is developed, which includes recent advances in SPH and other meshfree research efforts. Key features will include linear consistency, stability, and both local and global conservation properties. In addition, through the incorporation of Reproducing Kernal Particle Method(RKPM), standard moving least squares (MLS) enhancement and wavelet techniques, the me...

A complete Lyapunov function characterizes the behaviour of a general discrete-time dynamical system. In particular, it divides state space into chain-recurrent set where is constant along trajectories and part flow gradient-like strictly decreasing solutions. Moreover, level sets provide information about attractors, repellers, basins attraction. style='text-indent...

We prove convergence for a meshfree first-order system least squares (FOSLS) partition of unity finite element method (PUFEM). Essentially, by virtue of the partition of unity, local approximation gives rise to global approximation in H(div) ∩ H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial...