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  • Articles  (911)
  • Springer  (911)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • American Meteorological Society
  • National Academy of Sciences
  • 2015-2019  (911)
  • 2005-2009
  • 1980-1984
  • 2017  (392)
  • 2016  (519)
  • Acta Mechanica  (370)
  • 4493
  • Physics  (911)
Collection
  • Articles  (911)
Source
Publisher
  • Springer  (911)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • American Meteorological Society
  • National Academy of Sciences
Years
  • 2015-2019  (911)
  • 2005-2009
  • 1980-1984
Year
Journal
Topic
  • 1
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    A method to derive thermoelastic Green’s functions for bounded domains (on examples of two-dimensional problems for parallelepipeds) (2016)
    Springer
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    Publication Date: 2016-07-21
    Description: This article presents new constructive formulas to steady-state thermoelastic Green’s functions for a plane generalized boundary value problem of thermoelasticity for a generalized rectangle. The constructive formulas are expressed in terms of Green’s functions for Poisson’s equation. These results are formulated in a special theorem, which is proved using the author’s developed harmonic integral representations method. On the base of derived constructive formulas, it is possible to obtain many analytical expressions for Green’s functions for thermoelastic displacements and stresses to 28 concrete boundary value problems for: rectangle-16, half-strip-8, strip-4. An example of such kind is presented for a concrete plane boundary value problem for a rectangle, Green’s functions of which are presented in the form of a sum of elementary functions and ordinary series. These results are presented in another theorem, which is proved on the base of derived general constructive formulas. In the particular case for a half-strip and strip, ordinary series vanish and Green’s functions are presented in elementary functions. New analytical expressions for thermal stresses to a particular plane problem for a thermoelastic rectangle subjected to a constant boundary temperature gradient are also derived. Numerical investigation has shown that the infinite series are convergent. All solutions obtained for thermal stresses, caused by a constant temperature gradient and by a unit heat source are validated by checking the respective equilibrium equation and continuity of deformation equations (Beltrami–Michel equations), written in the terms of thermal stresses. The graphics for thermal stresses and their infinite series also are presented.
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 2
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    Free transverse vibration of double-walled carbon nanotubes embedded in viscoelastic medium (2016)
    Springer
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    Publication Date: 2016-07-21
    Description: This paper aims to study the vibration characteristics of viscoelastic double-walled carbon nanotubes embedded in a viscoelastic medium. In doing this, the governing equations of the system are derived by combining the Euler–Bernoulli beam theory, nonlocal viscoelastic model and Kelvin viscoelastic foundation model. Subsequently, the transfer function method is employed to solve the governing equations, which enables one to obtain the natural frequencies and the corresponding mode shapes in closed form for the DWCNTs with arbitrary boundary conditions. Here, the developed mechanics model is first compared with the existing techniques available in the literature, where excellent agreement is achieved. Also, a detailed parametric study is conducted to examine the effect of boundary conditions, nonlocal parameter, relaxation time, slenderness ratio, stiffness coefficient and damping coefficient on the vibration response of the DWCNTs.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 3
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    Analysis of anisotropic gradient elastic shear deformable plates (2016)
    Springer
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    Publication Date: 2016-07-21
    Description: In this paper, Reddy’s third-order shear deformable plate theory is employed for the analysis of centrosymmetric anisotropic plate structures within strain gradient elasticity. The general three-dimensional anisotropic gradient theory is reduced to a two-dimensional formulation for the analysis of thick plate structures. The third-order shear deformation theory (TSDT) takes into account quadratic variation of the transverse shear strains of the plate and does not require shear correction factors. In order to investigate the case of small strains but moderate rotations, the von Kármán strains are considered. The TSDT is also simplified to anisotropic Kirchhoff plate theory within gradient elasticity. To study specific material properties in more detail, the (Kirchhoff and TSDT) gradient plate theory of general anisotropy is simplified to the more practical case of orthotropic plates. It is observed that the gradient theory provides the capability to capture the size effects in anisotropic plate structures. As case studies, the bending and buckling behaviors of the simply supported orthotropic (Kirchhoff and TSDT) plates are studied. Variationally consistent boundary conditions are also discussed. Finally, analytical solutions are presented for the bending and buckling of simply supported orthotropic Kirchhoff plates. The effects of internal length scales on deflections and buckling loads are presented.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 4
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    Experimental study of the deflections of curved plates exposed to pulsating cross-flows (2016)
    Springer
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    Publication Date: 2016-07-21
    Description: The deflection of thin, elastic plates with different curvatures is experimentally investigated under pulsatile cross-flow conditions. Average and maximum deflections are reported in terms of the plate’s curvature, flow frequency, and stroke fraction. The laboratory results indicate that the maximum deflections can be reduced significantly when the curvature is increased (around 50 % for low-to-intermediate curvatures and up to 80 % for high curvatures). Moreover, the comparative analysis shows that the deflection is inversely proportional to the rigidity of the plates, which depends nonlinearly on the curvature. Based on the observed behavior, a simplified Euler–Bernoulli beam model is derived to qualitatively explain the effects of geometrical factors such as the curvature, the thickness, and the length of the plates. Some traits of the flow evolving around the plate and the need to have accurate measurements of the pressure are discussed.
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    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 5
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    Analysis of dynamic stress intensity factors for interfacial crack near shallow circular inclusion in bi-material half-space to SH wave (2016)
    Springer
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    Publication Date: 2016-07-22
    Description: An analytical approach is used to investigate the SH-wave scattering problems of the bi-material half-space including a circular inclusion embedded and an interfacial crack. Considering the multiple scattering phenomena between the boundaries and the circular inclusion, the “image” principle is used to establish the expressions of the wave field. With the aid of interfacial conjunction, the interfacial crack is constructed. According to the displacement and stress continuity conditions, the Fredholm integral equations of the first kind are obtained to determine the unknown forces attached to the linking sections. Finally, analytical expressions for dynamic stress intensity factors are obtained. The numerical results for dynamic stress intensity factors are presented graphically considering the factors of the crack length, the incident wave number, the inclusion defect and the different media parameters.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 6
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    Reflection and transmission of plane wave through fluid layer of finite width sandwiched between two monoclinic elastic half-spaces (2016)
    Springer
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    Publication Date: 2016-07-22
    Description: This paper studies the reflection and transmission of a plane wave through a fluid layer of finite width sandwiched between two dissimilar monoclinic elastic half-spaces. Closed-form expressions for the phase velocity of quasi-waves (qP and qSV) have been obtained. The reflection/transmission coefficients and energy divisions have been procured for all the reflected and transmitted waves in terms of phase velocity, propagation vector, elastic constants and width of the layer. It has been noticed that these epitomes depend not only upon the incident angle and width of the layer, but also on the character of incident wave. Energy proportions have been calculated numerically to validate the rule of energy conservation at different angles of incidence. Graphical representation has been performed to demonstrate the analytical findings.
    Print ISSN: 0001-5970
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 7
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    Effective Young’s modulus of nanoporous materials with cuboid unit cells (2016)
    Springer
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    Publication Date: 2016-07-26
    Description: Due to their superior mechanical characteristics, nanoporous materials and structures have attracted increasing interest in the last decade. The mechanical and physical properties of the surface layer are different from the bulk material when the structural size is at nanoscale. In this work, a nanoporous model with periodically arranged cuboid-shaped pores is presented. Based on the surface elasticity, the expression of the effective Young’s modulus is obtained theoretically. For a given relative density, the influences of the surface effect on the nanoporous structure are examined. It is shown that the effective Young’s modulus grows with increasing surface Young’s modulus or decreasing inclination angle for the ligament. Moreover, it is suggested from the results that a negative effective Young’s modulus could be achieved when the residual surface stress is less than zero. In addition, the impact of the relative density on the proposed nanoporous material is also investigated.
    Print ISSN: 0001-5970
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 8
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    A new efficient higher-order shear deformation theory for a doubly curved laminated composite shell (2016)
    Springer
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    Publication Date: 2016-07-30
    Description: Appropriate representation of the displacement field is important to establish proper stress distribution including shear-free condition at free surfaces for a laminated composite shell used in real engineering applications. The present study attempted to develop a more accurate higher-order displacement field for the analysis of a doubly curved laminated composite shell with \(\hbox {C}^{0 }\) finite element model based on higher-order shear deformation theory. A new displacement function is proposed for static and free vibration analysis of such a shell. The accurate strain displacement relationship is applied in the analysis of a shell structure with exactly zero shear-free condition at top and bottom surfaces. The proposed model is capable of determining the accurate shear stress distribution across the thickness of the laminate. Moderately deep and thick shells can be analyzed very accurately as the ratio of thickness coordinate to radius of curvature is incorporated in the formulation. An eight-noded isoparametric shell element with seven degrees of freedom at each node is used to formulate the finite element model. The numerical results in terms of deflection, stresses and natural frequencies obtained by the present formulations are compared with those available in the published literature to validate the accuracy of the proposed model.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 9
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    Exact frequency response of bars with multiple dampers (2016)
    Springer
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    Publication Date: 2016-07-30
    Description: The paper addresses the frequency analysis of bars with an arbitrary number of dampers, subjected to harmonically varying loads. Multiple external/internal dampers occurring at the same position along the bar, modelling external damping devices and internal damping due to damage or imperfect connections, are considered. In this context, the challenge is to handle simultaneous discontinuities of the response variables, i.e. axial force/displacement discontinuities at the location of external/internal dampers. Based on the theory of generalized functions, the paper will present exact closed-form expressions of the frequency response under point/polynomial loads, which hold regardless of the number of dampers. In addition, closed-form expressions will be derived for the exact dynamic stiffness matrix and load vector of the bar, to be used in a standard assemblage procedure for an exact frequency response analysis of 2D truss structures. Changes to consider a single damper at a given position are straightforward. Numerical applications show the advantages of the proposed method.
    Print ISSN: 0001-5970
    Electronic ISSN: 1619-6937
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 10
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    The effect of a laser pulse and gravity field on a thermoelastic medium under Green–Naghdi theory (2016)
    Springer
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    Publication Date: 2016-07-08
    Description: The present work aims to investigate the effect of the gravitational field on a two-dimensional thermoelastic medium influenced by thermal loading due to a laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under Green–Naghdi theory with and without energy dissipation. The normal mode analysis method is used to get the expressions for the physical quantities. The results are illustrated graphically.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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