基于Poulos解的交叉厂房柱桩基础设计

以某炼钢厂房设计为工程背景,采用Poulos和Boussinesq弹性理论计算桩土刚度,采用Reissner厚板理论分析桩基础承台,并利用该方法对交叉厂房柱的桩基础的总体沉降、差异沉降、桩顶反力、承台内力等结果进行了计算。通过总结分析结果,验证了规范的结论,并分析了此类基础的规律,以期为类似工程的设计提供有益的参考。     

Mixed mode cracks in Reissner plates

Based on the sixth order Reissner plate theory, the generalized displacement functions for a cracked plate are derived by eigenfunction expansion method. The fractal two-level finite element method is employed to obtain the stress (moment and shear) intensity factors for the center cracked plate subjected to out-of-plane bending and twisting loads. The numerical results from the present method are checked with those available in literature. Highly accurate stress intensity factors are predicted for a wide range of thickness to crack length ratio and a full range of PoissonÆs ratio provided that the radius of fractal mesh to thickness ratio is not less than .     

Reissner厚板的一般解析解答及其应用

本文基于原始的 Reissner 板模型,根据文献中的控制方程,给出了 Reissner 厚板弯曲问题的一般解析解答形式。在此基础上,详细地讨论了均布荷载下四边固支矩形 Reissner 厚板的弯曲问题,并在 VAX-8200机上编制了相应的 FORTRAN 程序。本文提出的厚板解析方法,无论从力学意义上,还是数学运算上,都比习惯的迭加法简明的多。算例表明:结果可靠、方法可行。     

Analysis of thermo-elastic plates based on Reissner’s mixed variational theorem

Analysis of composite/sandwich plates under thermal loads has greater significance due to its extensive application in ocean and aerospace structures. This paper addresses the analysis of composite/sandwich plates under thermal load using layer-wise mixed finite element method. The Reissner mixed variational theorem (RMVT) has been used for the thermal analysis of plates. Transverse stress assumptions are made in the framework of RMVT and the resulting finite element describes a priori inter-laminar continuous transverse shear and normal stresses. This method is equally applicable to the analysis of plates under mechanical and thermal loads. Numerical examples are solved to validate the present formulation using a code developed in C-language and the results obtained with the present model are in good agreement with the analytical solutions available in literature.     

Three-dimensional formulation of a mixed corotational thin-walled beam element incorporating shear and warping deformation

This paper presents a corotational formulation of a three-dimensional elasto-plastic mixed beam element that can undergo large displacements and rotations. The corotational approach applies to a two-noded element a coordinate system which continuously translates and rotates with the element. In this way, the rigid body motion is separated out from the deformational motion. In this paper, a mixed formulation is adopted for the derivation of the local element tangent stiffness matrix and nodal forces based on a two-field Hellinger–Reissner variational principle. The local beam kinematics is based on a low-order nonlinear strain expression using Timoshenko assumption. The warping effects are characterized by adopting Benscoter theory that describes the warping degree of freedom by an independent function. Shape functions that satisfy the nonlinear local equilibrium equations are selected for the interpolation of the stress resultants. This local element, together with the corotational framework, can be used to analyze the nonlinear buckling and postbuckling of thin-walled beams with generic cross-section. The mixed formulation solution is compared against the results obtained from a corotational displacement-based formulation having the same beam kinematics. The superiority of the mixed formulation is clearly demonstrated.     

Crack-tip fields in anisotropic shells

Asymptotic crack-tip fields including the effect of transverse shear deformation in an anisotropic shell are presented. The material anisotropy is defined here as a monoclinic material with a plane symmetry at x ₃=0. In general, the shell geometry near the local crack tip region can be considered as a shallow shell. Based on Reissner shallow shell theory, an asymptotic analysis is conducted in this local area. It can be verified that, up to the second order of the crack tip fields in anisotropic shells, the governing equations for bending, transverse shear and membrane deformation are mutually uncoupled. The forms of the solution for the first two terms are identical to those given by respectively the plane stress deformation and the antiplane deformation of anisotropic elasticity. Thus Stroh formalism can be used to characterize the crack tip fields in shells up to the second term and the energy release rate can be expressed in a very compact form in terms of stress intensity factors and Barnett–Lothe tensor L. The first two order terms of the crack-tip stress and displacement fields are derived. Several methods are proposed to determine the stress intensity factors and `T-stresses'. Three numerical examples of two circular cylindrical panels and a circular cylinder under symmetrical loading have demonstrated the validity of the approach.     

Fire analysis of timber composite beams with interlayer slip

The purpose of this paper is to model the behaviour of timber composite beams with interlayer slip, when simultaneously exposed to static loading and fire. A transient moisture-thermal state of a timber beam is analysed by the Luikov equations, and mechanical behaviour of timber composite beam is modelled by Reissner's kinematic equations. The model can handle layers of different materials. Material properties are functions of temperature. The thermal model is validated against the experimental data presented in the literature. Generally, the model provides excellent agreement with the experimental data. It is shown that the material properties of timber play an important role in the fire resistance analysis of timber structures when exposed to fire.     

Analytic solution for Reissner plate bending based on new symplectic approach

This paper presents the analytic solution for Reissner plate bending derived by the symplectic geometry approach.Firstly,the basic equations for Reissner plate are transferred into Hamilton canonical equations.And then the whole state variables are separated.Finally,the solution is obtained according to the method of eigenfunction expansion in the symplectic geometry.Only the basic elasticity equations of Reissner plate are used in the present study and the pre-selection of the deformation function is abandoned,which is requisite in classical solution methods.Therefore,the utilized approach is completely reasonable and theoretical.To verify the accuracy and validity of the formulations derived,the numerical results are presented to compare with those available in the open literatures.     

The RMVT- and PVD-based finite layer methods for the three-dimensional analysis of multilayered composite and FGM plates

The Reissner mixed variational theorem (RMVT)- and principle of virtual displacements (PVD)-based finite layer methods (FLMs) are developed for the three-dimensional (3D) analysis of simply-supported, multilayered composite and functionally graded material (FGM) plates subjected to mechanical loads. The material properties of the FGM layers are assumed to obey either an exponent-law exponentially varied with the thickness coordinate or the power-law distributions of the volume fractions of the constituents. In these formulations, the plate is divided into a number of finite layers, where the trigonometric functions and Lagrange polynomials are used to interpolate the in- and out-of-plane variations of the field variables of each individual layer, respectively. Because an h-refinement instead of a p-refinement process is adopted to yield the convergent solutions in this analysis, the layerwise either linear or parabolic function distribution through the thickness coordinate is assumed for the related field variables. The unified formulations of these two kinds of FLMs with freely-chosen orders for the in- and out-of-plane field variables are presented. The accuracy and convergence rate of a variety of RMVT- and PVD-based FLMs developed in this paper are assessed by comparing their solutions with the exact 3D solutions available in the literature.     

Crack Growth analysis of plates Loaded by bending and tension using dual boundary element method

This paper presents an extension of the dual boundary element method to analysis of crack growth in plates loaded in combine bending and tension. Five stress intensity factors, two for membrane behaviour and three for shear deformable plate bending are computed using the J-Integral technique. Crack growth processes are simulated with an incremental crack extension analysis based on the maximum principal stress criterion. The method is considered effective since no remeshing is required and the crack extension is modelled by adding new boundary elements to the previous crack boundaries. Several incremental crack growth analysis for different configurations and loadings are presented.