Approximations obtained with the equivalent frame method and Beck-Coull method to assess elastic lateral displacement profiles of walls with openings are compared to results obtained with the finite element method using reasonably fine meshes. Multistory walls were studied, considering symmetric and asymmetric distribution of openings with respect to a vertical axis. The contribution of slabs in the lateral stiffness was considered through an equivalent flange as recommended in several building codes. Different stiffnesses are considered for the walls and the slabs. From the obtained results it is confirmed that approximations obtained with the studied methods increase as the number of stories of the wall increases, and that it is reasonable for an equivalent opening eccentricity up to 40%. The contribution of the stiffness of the slab had a small impact for the considered symmetric wall openings, but it was important for walls with asymmetric openings, impacting more the displacements of walls when they are more flexible.
Abstract Approximations obtained with the equivalent frame method and Beck-Coull method to assess elastic lateral displacement profiles of walls with openings are compared to results [...]
In this work a solid finite element based on a Total Lagrangian Formulation using logarithmic strains is combined with a classical assumed strain approach of the transverse strains for thick shells. The target is to use the element for shell simulations without shear locking. The selective mass scaling technique used to avoid that the discretization across the thickness reduce the critical time in codes with explicit integration of the momentum equations is summarized. Several examples are presented showing that the element is shear-locking free, the consequences of the selective mass scaling and the possibilities of the element for the analysis of composites laminates in non-linear material regime.
Abstract In this work a solid finite element based on a Total Lagrangian Formulation using logarithmic strains is combined with a classical assumed strain approach of the transverse [...]
A new numerical model for the structural assessment of gravity dams by means of a semi-discrete approach is proposed. Gravity dams are massive structures, which their stability depends on the gravity loads applied into the structure. Mainly, its structural assessment is performed by means of a gravity approach. However, this approach is too conservative and mostly does not reflect the real structural behaviour of the dam. In this context, there is the need of models that are simplified enough to allow a simple and fast parametric analyses. The proposed model idealizes the dam as a set of rigid elements, where the damage and the deformation are concentrated in the contact sides between adjacent elements. Thus, the elements are rigid, but the material is considered as deformable. As the proposed model is semi-discrete, it can detect separation or sliding between elements. However, initial contacts do not change during the analyisis and a relative continuity among elements exists, in order to simplify the computational effort. The effective performance of the proposed model is demonstrated by numerical validation and by comparisons with some numerical models presented in the literature.
Abstract A new numerical model for the structural assessment of gravity dams by means of a semi-discrete approach is proposed. Gravity dams are massive structures, which their stability [...]
We propose a fourth-order compact scheme on structured meshes for the Helmholtz equation given by R(φ) := f (x) + ∆φ + ξ alpha-interpolation of the Galerkin finite element method and the classical central finite difference method. In 1D this scheme is identical to the alpha-interpolation method [48] and in 2D making the choice α = 0.5 we recover the generalized fourth-order compact Pad´e approximation [56, 57] (therein using the parameter γ = 2). We follow [10, 15] for the analysis of this scheme and its performance on square meshes is compared with that of the quasi-stabilized FEM [15]. In particular we show that the relative phase error of the numerical solution and the local truncation error of this scheme for plane wave solutions diminish at the rate O (ξℓ)
Abstract We propose a fourth-order compact scheme on structured meshes for the Helmholtz equation given by R(φ) := f (x) + ∆φ + ξ alpha-interpolation of the Galerkin finite [...]
C. Estruch, E. Oñate, B. Suarez, J. Marcipar, C. García
Collection of Métodos de Test (2017).
Abstract
En la presente tesis doctoral se propone desarrollar, construir y validar experimentalmente un nuevo Concepto de Puente de Vigas Hinchables Ligero, Modular y Portátil (PVH-LMP) para el transporte en supercie de vehículos, que utiliza como elemento b asico estructural para aguantar las cargas vigas hinchadas con aire a baja presión fabricadas con tejidos compuestos de altas prestaciones.
Abstract En la presente tesis doctoral se propone desarrollar, construir y validar experimentalmente un nuevo Concepto de Puente de Vigas Hinchables Ligero, Modular y Portátil [...]
Particle methods in Computational Fluid Dynamics (CFD) are numerical tools for the solution of the equations of f luid dynamics obtained by replacing the fluuid continuum with a finite set of particles. For mathematicians, particles are just points from which properties of the uid can be interpolated. For physicists the particles are material points, which can be treated like any other particle system. Either way, particle methods have a number of attractive features. One of the key attributes is that pure advection is treated exactly. For example, if the particles are given a determined colour and the velocity is specified, the transport of colours by the particle system is exact. The convection of properties also eases the solution of multi material problems, simplifying the detection of interfaces. The use of particles also allows to bridge the gap between the continuum and fragmentation in a natural way, for example in fracture or droplets problems. Since the computation domain, the particles, matches exactly the material domain of interest, the computational resources are optimized with the corresponding reduction in storage and calculation time compared to other methods. Finally, because of the close similarity between particle methods and the physics of the problems to be solved, it is often possible to account for complex physics more easily than with other methods.
Abstract Particle methods in Computational Fluid Dynamics (CFD) are numerical tools for the solution of the equations of f luid dynamics obtained by replacing the fluuid continuum [...]
This paper presents a new computational technique for predicting the onset and evolution of fracture in a continuum in a simple manner combining the finite element method (FEM) and the discrete element method (DEM). Once a crack is detected at an element side in the FE mesh, discrete elements are generated at the nodes sharing the side and a simple DEM mechanism is considered to follow the evolution of the crack. The combination of the DEM with simple 3-noded linear triangular elements correctly captures the onset of fracture and its evolution, as shown in several examples of application in two and three dimensions.
Abstract This paper presents a new computational technique for predicting the onset and evolution of fracture in a continuum in a simple manner combining the finite element method [...]