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31.
32.
In the present paper a finite layer method is studied for the elastodynamics of transverse isotropic bodies. With this method,
semi-infinite soils can be considered as an transverse isotropic half-space, its material functions varying with depth. Dividing
the half-space into a series of layers in the direction of depth, the material functions in each layer are simulated by exponential
functions. Consequently, the fundamental equations to be solved can be simplified if the Fourier transform with repsect to
coordinates is used. We have obtained the relationship between the “layer forces” and “layer displacements”. This finite layer
method, in fact, can also be called a semi-analytical method. It possesses those advantages as the usual semi-analytical methods
do, and can be used to analyse the problem of the interaction between soils and structures.
This paper is based on a portion of the author's dissertation submitted in partial fulfillment of the requirements of degree
of Ph. D. at the Shanghai Institute of Appl. Math. & Mech., Shanghai. 相似文献
33.
In the present paper a finite layer method is studied for the elastodynamics of transverse isotropic bodies. With this method, semi-infinite soils can be considered as an transverse isotropic half-space, its material functions varying with depth. Dividing the half.space into a series of layers in the direction of depth the material fimetioms in each layer are simulated by exponential fumctions Consequently, the fundamental equations to be solved can be simplified if the fouricr transform with repsect to coordinates is used. We have obtained the relationship between the "layer forces" and "layer displacements". This finite layer method, in fact, can also be called a semi-analytical method. It possesses those advantages as the usual semi-analytical methods do, and can be used to analyse the problem of the interaction between soils and structures. 相似文献
34.
Structure of the constitutive relations for hereditarily elastic materials reinforced by hard fibers
R. A. Kayumov I. G. Teregulov 《Journal of Applied Mechanics and Technical Physics》2005,46(3):405-411
The problem of simplifying the nonlinear hereditary elasticity relations is considered for strongly anisotropic materials
such as fiber-reinforced composites. This is done using their property that the material stiffness is high along the reinforcement
and is low in the cross-sectional direction. The material is considered transversally isotropic. The simplification is performed
by analyzing asymptotic representations of creep relations. Relations of various degrees of accuracy for various types of
composites and stress states are obtained.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 120–127, May–June, 2005. 相似文献
35.
V. I. Kushch 《International Applied Mechanics》2004,40(8):893-899
An elastic-equilibrium problem is rigorously solved for a transversely isotropic body containing a finite number of arbitrarily arranged and oriented transversely isotropic spherical inclusions or an infinite periodic array of such inclusions. The solution is found based on the superposition principle for general solutions of single-particle problems and the addition theorems for partial vector solutions of the elastic equilibrium equations. The numerical results presented allow assessing the influence of matrix anisotropy on the stress concentration between inclusions 相似文献
36.
M. Fellah A. Tounsi K.H. Amara E.A. Adda Bedia 《Theoretical and Applied Fracture Mechanics》2007,48(1):32-40
A modified shear-lag analysis, taking into account the concept of stress perturbation function, is developed and applied to evaluate the effect of transverse cracks on the effective thermal expansion coefficient of aged angle-ply composites laminates. Effects of number of 90° layers and number of θ° layers in the outer angle-ply laminates on the reduction of the effective axial coefficient of thermal expansion have also been studied. The results of this paper represent well the dependence of the reduction of the effective axial coefficient of thermal expansion on the hygrothermal conditions, the fibre orientation angle of the outer layers, the number of cracked cross-ply layers and the number of un-cracked outer θ° layers in laminate. 相似文献
37.
M. N. Dmitriev N. M. Dmitriev V. V. Kadet M. N. Kravchenko S. G. Rassokhin 《Fluid Dynamics》2004,39(4):589-593
The results of an experimental determination of the relative phase permeabilities during flow of two immiscible fluids in stratified sandstone with transversally isotropic characteristics are presented. The measurements were performed on samples oriented in three directions: along, perpendicular to and at an angle of 45° to the stratification plane. An approximate solution of the problem of steady two-phase flow toward a finite gallery in an anisotropic porous medium for arbitrary relative orientation of the gallery and the principal axes of the absolute permeability tensor is given. This solution was tested against the experimental results. The good agreement between the theoretical and experimental results makes it possible to recommend for engineering calculations both the relations between the absolute and phase permeabilities for transversally isotropic and orthotropic porous media and the approximate solution obtained. 相似文献
38.
39.
分别优化了横向加热和纵向加热涂钨平台石墨炉原子吸收光谱法测定镓的条件。结果显示,纵向加热方式的原子化温度比横向加热低,在灰化温度、进样量、酸介质的影响和化学改进剂等方面,两者没有显著差别。纵向加热的灵敏度高于横向加热,线性范围也比横向加热宽;但是采用横向加热方式能获得更低的检出限和更强的抗干扰能力。 相似文献
40.
C. Thai-HoangN. Nguyen-Thanh H. Nguyen-Xuan T. Rabczuk 《Applied mathematics and computation》2011,217(17):7324-7348
This paper presents an alternative alpha finite element method using triangular meshes (AαFEM) for static, free vibration and buckling analyses of laminated composite plates. In the AαFEM, an assumed strain field is carefully constructed by combining compatible strains and additional strains with an adjustable parameter α which can produce an effectively softer stiffness formulation compared to the linear triangular element. The stiffness matrices are obtained based on the strain smoothing technique over the smoothing domains and the constant strains on triangular sub-domains associated with the nodes of the elements. The discrete shear gap (DSG) method is incorporated into the AαFEM to eliminate transverse shear locking and an improved triangular element termed as AαDSG3 is proposed. Several numerical examples are then given to demonstrate the effectiveness of the AαDSG3. 相似文献