Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Layerwise fundamental solutions and three-dimensional model for layered media (1996)
    Springer
    Applied composite materials 3 (1996), S. 277-300 
    Details
    ISSN: 1573-4897
    Keywords: layered media ; layerwise theory ; sandwich plates ; laminated plates ; fundamental solutions ; boundary integral equations ; finite element models ; boundary element models ; BEM ; FEM coupling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A hybrid method is presented for the analysis of layers, plates, and multilayered systems consisting of isotropic and linear elastic materials. The problem is formulated for the general case of a multilayered system using a total potential energy formulation and employing the layerwise laminate theory of Reddy. The developed boundary integral equation model is two-dimensional, displacement based and assumes piecewise continuous distribution of the displacement components through the system's thickness. A one-dimensional finite element model is used for the analysis of the multilayered system through its thickness, and integral Fourier transforms are used to obtain the exact solution for the in-plane problem. Explicit expressions are obtained for the fundamental solution of a typical infinite layer (element), which can be applied in a two-dimensional boundary integral equation model to analyze layered structures. This model describes the three-dimensional displacement field at arbitrary points either in the domain of the layered medium or on its boundary. The proposed method provides a simple, efficient, and versatile model for a three-dimensional analysis of thick plates or multilayered systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00134971
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On vibration and buckling of symmetric laminated plates according to shear deformation theories (1992)
    Springer
    Acta mechanica 94 (1992), S. 123-144 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The frequency and buckling equations of rectangular plates with various boundary conditions are developed within the third-order and the first-order shear deformation plate theories. The third-order theories account for a quadratic distribution of the transverse shear strains through the thickness of the plate. In the first part of this paper, Levinson's third-order theory, derived as a special case from Reddy's third-order theory, is used to study a plate laminated of transversely isotropic layers. The relationship between the original form of the governing equations and the interior and the edge-zone equations of the plate is closely examined and the physical insights from the latter equations are established. In the second part of the paper, the first-order shear deformation theory and the third-order theory of Reddy are studied for vibration and buckling.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176647
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    On vibration and buckling of symmetric laminated plates according to shear deformation theories (1992)
    Springer
    Acta mechanica 94 (1992), S. 145-169 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The analytical frequency and buckling equations of rectangular plates with various boundary conditions are developed using the interior and the edge-zone equations associated with the first-order shear deformation plate theory. The plates are laminated of transversely isotropic layers. It is shown that the solution contribution of the edge-zone equation on the natural frequency and the buckling load is negligible. Numerical results are developed and compared with the third-order shear deformation plate theories of Levinson and Reddy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176648
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Low-velocity impact of laminated composites using a layerwise theory (1994)
    Springer
    Computational mechanics 13 (1994), S. 360-379 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A layer-wise theory is used to study the low velocity impact response of laminated plates. The forced-vibration analysis is developed by the modal superposition technique. Six different models are introduced for representation of the impact pressure distribution. The first five models, in which the contact area is assumed to be known, result in a nonlinear integral equation similar to the one obtained by Timoshenko in 1913. The resulting nonlinear integral equation is discretised using a time-finite-element scheme. Two different interpolation functions, namely: (i) Lagrangian and (ii) Hermite are used to express the impact force. The Hermitian-polynomials based representation, obviously, more sophisticated, is introduced to verify the Lagrangian based representation. Due to its modular nature the present numerical technique is preferable to the existing numerical methods in the literature. The final loading model, in which the time dependence of the contact area is taken into account according to the Hertzian contact law, resulted in a relatively more complicated but more relalistic, nonlinear integral equation. The analytical developments concerning this model are all new and reported for the first time in this paper. Also a simple, but accurate, numerical technique is developed for solving our new nonlinear integral equation which results in the time-history of the impact force. Our numerical results are first tested with a series of existing example problems. Then a detailed study concerning all the response quantities, including the in-plane and interlaminar stresses, is carried out for cross-ply laminates and important conclusions are reached concerning the usefulness and accuracy of the various plate theories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00512589
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    On refined theories of composite laminates (1990)
    Springer
    Meccanica 25 (1990), S. 230-238 
    Details
    ISSN: 1572-9648
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Summary A review of the developments in the displacement-based theories of plates is presented. It is shown that many of the third-order theories reported in the literature are based on the same or equivalent displacement field, and are thus lead to the same results. A strain-consistent third-order theory is presented, which contains most existing third-order plate theories as special cases. The layer-wise laminate plate theory proposed by the author is also reviewed. The accuracy of the theories is evaluated by comparing the numerical solutions with those of the three-dimensional elasticity theory.
    Notes: Sommario Si passano in rassegna varie teorie delle piastre basate sugli spostamenti. Viene mostrato che molte delle teorie del terzo ordine che compaiono nella letteratura sono basate sullo stesso (o un equivalente) campo di spostamenti, e quindi conducono agli stessi risultati. Viene quindi presentata una teoria del terzo ordine coerente nelle deformazioni, che contiene come casi particolari la maggior parte delle esistenti teorie del terzo ordine. Viene anche rivista la teoria delle piastre a strati già proposta dall'autore. L'accuratezza delle teorie è valutata paragonando le soluzioni numeriche con quelle della teoria tri-dimensionale dell'elasticità.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01559685
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    A layerwise boundary integral equation model for layers and layered media (1995)
    Springer
    Journal of elasticity 38 (1995), S. 221-259 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract A hybrid method is presented for the analysis of layers, plates, and multilayered systems consisting of isotropic and linear elastic materials. The problem is formulated for the general case of a multilayered system using a total potential energy formulation. The layerwise laminate theory of Reddy is employed to develop a layerwise, two-dimensional, displacement-based, hybrid boundary element model that assumes piecewise continuous distribution of the displacement components through the system's thickness. A one-dimensional finite element model is used for the analysis of the multilayered system through its thickness, and integral Fourier transforms are used to obtain the exact solution for the in-plane problem. Explicit expressions are obtained for the fundamental solution of a typical infinite layer (element) assuming linear displacement distribution through its thickness. This fundamental solution is given in a closed form in the cartesian space, and it can be applied in the two-dimensional boundary integral equation model to analyze layered structures with finite dimensions. The proposed method provides a simple, efficient, and versatile model for a three-dimensional analysis of thick plates or multilayered systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042142
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Deflection relationships between classical and third-order plate theories (1998)
    Springer
    Acta mechanica 130 (1998), S. 199-208 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary In this paper the differential relationship between the deflections of the classical Kirchhoff and third-order Reddy plate theories is developed, and it is used to determines the relationship between the deflections of polygonal plates with simply supported boundary conditions. As an example, the deflection of a simply supported rectangular plate using the third-order plate theory is obtained from the relationship developed herein. The relationship indicates that the third-order theory yields virtually the same solution as the first-order theory for simply supported rectangular plates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01184311
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    A comprehensive analysis of the state of stress of elastic anisotropic flat plates using refined theories (1987)
    Springer
    Acta mechanica 70 (1987), S. 57-81 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary This paper establishes, on a quantitative basis, the correlation between two apparently different higher-order theories of anisotropic plates. In addition it provides a strong mathematical tool allowing one to determine, in an exact and unified manner, the state of stress of orthotropic shear deformable rectangular plates exhibiting a variety of edge conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01174647
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Comments and authors' reply on “On vibration and buckling of symmetric laminated plates according to shear deformation theories. Part I and II”, by A. Nosier and J. N. Reddy (1995)
    Springer
    Acta mechanica 110 (1995), S. 241-244 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01215427
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Transverse matrix cracks in cross-ply laminates: Stress transfer, stiffness reduction and crack opening profiles (1998)
    Springer
    Acta mechanica 130 (1998), S. 227-248 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Cross-ply laminates with transverse plies containing through-width matrix cracks across the thickness of the transverse plies are studied using an energy-based approach,complementary to that of Hashin. An upper bound on the effective axial stiffness of the cracked laminates with a uniform distribution of transverse cracks is derived. The equations governing the field variables in a typical RVE are derived using thelayerwise laminate theory of Reddy and are solved using the finite element method. The predicted reduction in the effective axial modulus is in good agreement with experimental results, and it approaches a fixed value with increase in crack density for laminates with bothstaggered andnon-staggered cracking. Laminates with staggered cracks showed a greater reduction in effective modulus at lower crack densities. The stress distribution and mechanics of load transfer is examined in detail, at two crack densities including the characteristic damage state. The crack opening profile has been normalized in a special way in terms of the crack density, layup parameters and material properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01184313
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...