Orthotropic Material

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Yoshinobu Tanigawa - One of the best experts on this subject based on the ideXlab platform.

  • transient thermal stresses of angle ply laminated cylindrical panel due to nonuniform heat supply in the circumferential direction
    Composite Structures, 2002
    Co-Authors: Yoshihiro Ootao, Yoshinobu Tanigawa
    Abstract:

    This paper is concerned with the theoretical treatment of transient thermal stress problem involving an angle-ply laminated cylindrical panel consisting of an oblique pile of layers having Orthotropic Material properties due to nonuniform heat supply in the circumferential direction. We obtain the exact solution for the two-dimensional temperature change in a transient state, and thermal stresses of a simply supported cylindrical panel under the state of generalized plane deformation. As an example, numerical calculations are carried out for a 2-layered angle-ply laminated cylindrical panel, and some numerical results for the temperature change, the displacement and the stress distributions are shown in figures.

  • transient thermal stress and thermal deformation of an angle ply laminated rectangular plate due to nonuniform heat supply based on higher order shear deformation theory
    Transactions of the Japan Society of Mechanical Engineers. A, 1995
    Co-Authors: Yoshinobu Tanigawa, Kazuki Nagayama, Ryuusuke Kawamura
    Abstract:

    This paper is concerned with a theoretical treatment of thermal stress and thermal bending problems for a multi-layered anisotropic laminated plate due to partially distributed heat supply. As an analytical model, we consider a laminated rectangular plate consisting of a diagonal pile of layers having Orthotropic Material properties, i. e. an angle-ply laminate. We obtain the three-dimensional temperature in a transient state and thermal deformation of a simply supported plate using the higher-order shear deformation theory. As an example, numerical calculations are carried out for a 2-layered angle-ply laminate, and the numerical results are examined precisely.

  • analysis of thermal stress and deformation due to nonuniform heat supply in an angle ply laminated rectangular plate
    Transactions of the Japan Society of Mechanical Engineers. A, 1995
    Co-Authors: Yoshinobu Tanigawa, Ryuusuke Kawamura, Tomohiro Takahara, Kazuki Nagayama
    Abstract:

    This paper describes theoretical treatment of problems of thermal stress and thermal bending due to partially distributed heat supply for a multilayered anisotropic laminated plate. As an analytical model, we consider a laminated rectangular plate consisting of a diagonal stack of layers having Orthotropic Material properties, i. e. an angle-ply laminate. Introducing the Rayleigh-Ritz method based on the variational principle, a three-dimensional temperature solution for a transient state is given. Moreover, for the thermoelastic problems, the components of displacements are analyzed using the Rayleigh-Ritz method, and the characteristic behaviors of thermal stress and thermal deformation for a simply supported plate are determined. As an example, calculations are carried out for a 2-layered angle-ply laminate, and the results are examined precisely.

A M Abdalla - One of the best experts on this subject based on the ideXlab platform.

  • propagation of rayleigh waves in a rotating Orthotropic Material elastic half space under initial stress and gravity
    Journal of Mechanical Science and Technology, 2012
    Co-Authors: A M Abdalla, S M Abodahab, T A Althamali
    Abstract:

    This paper aims to investigate the influence of rotation, initial stress and gravity field on the propagation of Rayleigh waves in a homogeneous Orthotropic elastic medium. The government equations and Lame’s potentials are used to obtain the frequency equation which determines the velocity of Rayleigh waves, including rotation, initial stress and gravity field, in a homogeneous, Orthotropic elastic medium has been investigated. The numerical results analyzing the frequency equation are discussed and presented graphically. It is important to note that the Rayleigh wave velocity in an Orthotropic elastic medium increases a considerable amount in comparison to the Rayleigh wave velocity in an isotropic Material. The results indicate that the effects of rotation, initial stress and gravity field on Rayleigh wave velocity are very pronounced.

  • effect of the rotation on a non homogeneous infinite cylinder of Orthotropic Material
    Applied Mathematics and Computation, 2011
    Co-Authors: A M Abdalla, S R Mahmoud, N A Alshehri
    Abstract:

    The present investigation is concerned with a study effect of non-homogeneous on the elastic stresses in rotating Orthotropic infinite circular cylinder subjected to certain boundary conditions. Closed form stress solutions are obtained for rotating Orthotropic cylinder with constant thickness for three cases: (1) a solid cylinder; (2) cylinder mounted on a circular rigid shaft; and (3) cylinder with a circular hole at the center. Analytical expressions for the components of the displacement and the stress in different cases are obtained. The effect of the rotation and non-homogeneity on the displacement and stress are studied. Numerical results are given and illustrated graphically for each case is considered. The effects rotating and non-homogeneity are discussed. Comparisons are made with the results predicted in the presence and absence of rotation.

  • propagation of rayleigh waves in generalized magneto thermoelastic Orthotropic Material under initial stress and gravity field
    Applied Mathematical Modelling, 2011
    Co-Authors: A M Abdalla, S M Abodahab, H A H Hammad
    Abstract:

    Abstract In this paper the influence of the gravity field, relaxation times and initial stress on propagation of Rayleigh waves in an Orthotropic magneto-thermoelastic solid medium has been investigated. The solution of the more general equations are obtained for thermoelastic coupling by Helmoltz’s theorem. The frequency equation which determines Rayleigh wave velocity have been obtained. Many special cases are investigated from the present problem. Numerical results analyzing the frequency equation are obtained and presented graphically. Relevant results of previous investigations are deduced as special cases from these results. The results indicate that the effect of initial stress, magnetic field and gravity field are very pronounced.

  • rayleigh waves in a magnetoelastic half space of Orthotropic Material under influence of initial stress and gravity field
    Applied Mathematics and Computation, 2004
    Co-Authors: A M Abdalla, H A H Hammad, S M Abodahab
    Abstract:

    In this paper, the frequency equation which determines the velocity of Rayleigh waves, including initial stress, gravity field and magnetic field, in a homogeneous Orthotropic elastic medium has been obtained. The theory of generalized surface waves has firstly been developed and then it has been employed to investigate particular cases of waves, viz. Rayleigh waves under the influence of gravity field, initial stress and magnetic field. The frequency equation obtained is in agreement with the corresponding result obtained by Datta [Rev. Roumaine Sci. Tech. Ser. Mec. Appl. 31 (1986) 369], when the initial stress and magnetic field are neglected. Moreover, when the magnetic field is neglected, our result is in agreement with the corresponding result of Abd-Alla [Appl. Math. Comput. 99 (1999) 61]. Numerical results analyzing the frequency equation are discussed and presented graphically. The results indicate that the effect of orthotropy on such waves is small and can be neglected, while the effect of initial stress, magnetic field and gravity field are very pronounced.

  • on the rotation of a non homogeneous composite infinite cylinder of Orthotropic Material
    Applied Mathematics and Computation, 1995
    Co-Authors: A M Elnaggar, A M Abdalla, S M Ahmed
    Abstract:

    Abstract The rotation problem of an Orthotropic cylinder containing. (i) an isotropic core and (ii) a rigid core is considered. The elastic constants and density are taken as a power function of the radial coordinate. Analytical expressions for the components of the stress in different cases are obtained. Finally, the results are illustrated graphically.

James J Mason - One of the best experts on this subject based on the ideXlab platform.

  • dynamic stress intensity factors at the tip of a uniformly loaded semi infinite crack in an Orthotropic Material
    Journal of The Mechanics and Physics of Solids, 2000
    Co-Authors: C Rubiogonzalez, James J Mason
    Abstract:

    Abstract A method for analyzing the elastodynamic response of an infinite Orthotropic Material with a semi-infinite crack under impact loads is presented. Uniform loading for three loading modes is considered, i.e. opening, in-plane shear and antiplane shear, and solution for the stress intensity factor history around the crack tip is found. Laplace and Fourier transforms along with the Wiener–Hopf technique are employed to solve the displacement formulation of the equations of motion. The asymptotic expression for the stress near the crack tip is analyzed which leads to a closed-form solution of the dynamic stress intensity factor for each loading mode. It is found that the stress intensity factors are proportional to the square root of time as expected. Results for Orthotropic Materials are shown to converge to known solutions for isotropic Materials derived independently.

Yoshihiro Ootao - One of the best experts on this subject based on the ideXlab platform.

  • transient thermal stresses of angle ply laminated cylindrical panel due to nonuniform heat supply in the circumferential direction
    Composite Structures, 2002
    Co-Authors: Yoshihiro Ootao, Yoshinobu Tanigawa
    Abstract:

    This paper is concerned with the theoretical treatment of transient thermal stress problem involving an angle-ply laminated cylindrical panel consisting of an oblique pile of layers having Orthotropic Material properties due to nonuniform heat supply in the circumferential direction. We obtain the exact solution for the two-dimensional temperature change in a transient state, and thermal stresses of a simply supported cylindrical panel under the state of generalized plane deformation. As an example, numerical calculations are carried out for a 2-layered angle-ply laminated cylindrical panel, and some numerical results for the temperature change, the displacement and the stress distributions are shown in figures.

Surkay D. Akbarov - One of the best experts on this subject based on the ideXlab platform.

  • mathematical modelling and the study of the influence of initial stresses on the sif and err at the crack tips in a plate strip of Orthotropic Material
    Applied Mathematical Modelling, 2009
    Co-Authors: Surkay D. Akbarov, A. Turan
    Abstract:

    Abstract A plate-strip fabricated from the Orthotropic Material and containing a crack whose edges are parallel to the face planes of the plate is considered. It is assumed that the strip is stretched (or compressed) initially along the crack edges by uniformly distributed external normal forces acting on the simply supported ends of the plate-strip. After this initial stretching (or compression) the crack edges are loaded by additional uniformly distributed normal (opening) forces. As a result of the action of these additional forces the stress concentration characterized by the stress intensity factor (SIF) of mode I or by the energy release rate (ERR) of mixed mode arises at the crack tips. In this paper, the influence of the initial stresses on the SIF or ERR is modelled mathematically by the use of the three-dimensional linearized theory of elasticity. The aim of the present investigations is to study the effect of the mechanical–Orthotropic properties of the plate-strip Material on this influence by the use of the finite element method (FEM) modelling of the corresponding boundary-value problem.