Harmonic Waves in Layered Composites: Bounds on Frequencies

1974 ◽  
Vol 41 (1) ◽  
pp. 288-290 ◽  
Author(s):  
S. Nemat-Nasser ◽  
F. C. L. Fu
Keyword(s):  
Harmonic Waves ◽  
Layered Composites

On Harmonic Waves in Layered Composites

1977 ◽  
Vol 44 (4) ◽  
pp. 689-695 ◽  
Author(s):  
S. Minagawa ◽  
S. Nemat-Nasser
Keyword(s):  
Dispersion Relations ◽  
Harmonic Waves ◽  
Layered Composites ◽  
Fiber Reinforced ◽  
Elastic Composite ◽  
Elastic Composites ◽  
Special Case ◽  
Layer Problem

For harmonic waves propagating in a layered elastic composite, approximate dispersion relations are developed. Both waves propagating in the direction of the layers, and those propagating obliquely to this direction, are considered. The layer problem is treated as a special case of fiber-reinforced elastic composites. For illustration, the approximate results are compared with the exact ones for the special case of homogeneous layers.

Harmonic Waves in Layered Composites

1972 ◽  
Vol 39 (3) ◽  
pp. 850-852 ◽  
Author(s):  
S. Nemat-Nasser
Keyword(s):  
Harmonic Waves ◽  
Layered Composites

Harmonic Waves in Layered Composites: Comparison Among Several Schemes

1975 ◽  
Vol 42 (3) ◽  
pp. 699-704 ◽  
Author(s):  
S. Nemat-Nasser ◽  
S. Minagawa
Keyword(s):  
Rayleigh Quotient ◽  
Upper Bounds ◽  
Harmonic Waves ◽  
Layered Composites ◽  
Test Functions ◽  
Lower And Upper Bounds ◽  
Numerical Examples ◽  
Elastic Composites

For harmonic waves in layered elastic composites the results obtained by means of the Rayleigh quotient based on displacement and the Rayleigh quotient based on stress, are compared with those obtained by a new quotient recently proposed by one of the authors, in an effort to examine reasons for the astonishing accuracy of the new quotient for this class of problems. This comparison leads to a scheme for obtaining improved test functions which then give very accurate lower and upper bounds for the wave frequencies. Results are illustrated by numerical examples.

Determination of the transverse shear stress in layered composites

2020 ◽  
Vol 86 (2) ◽  
pp. 44-53
Author(s):  
Yu. I. Dudarkov ◽  
M. V. Limonin
Keyword(s):  
Shear Stress ◽  
Transverse Shear ◽  
Composite Beam ◽  
Layered Composite ◽  
Equivalent Model ◽  
Shear Stresses ◽  
Transverse Shear Stress ◽  
Layered Composites ◽  
Laminate Composites ◽  
Transverse Shear Stresses

An engineering approach to estimation of the transverse shear stresses in layered composites is developed. The technique is based on the well-known D. I. Zhuravsky equation for shear stresses in an isotropic beam upon transverse bending. In general, application of this equation to a composite beam is incorrect due to the heterogeneity of the composite structure. According to the proposed method, at the first stage of its implementation, a transition to the equivalent model of a homogeneous beam is made, for which the Zhuravsky formula is valid. The transition is carried out by changing the shape of the cross section of the beam, provided that the bending stiffness and generalized elastic modulus remain the same. The calculated shear stresses in the equivalent beam are then converted to the stress values in the original composite beam from the equilibrium condition. The main equations and definitions of the method as well as the analytical equation for estimation of the transverse shear stress in a composite beam are presented. The method is verified by comparing the analytical solution and the results of the numerical solution of the problem by finite element method (FEM). It is shown that laminate stacking sequence has a significant impact both on the character and on the value of the transverse shear stress distribution. The limits of the applicability of the developed technique attributed to the conditions of the validity of the hypothesis of straight normal are considered. It is noted that under this hypothesis the shear stresses do not depend on the layer shear modulus, which explains the absence of this parameter in the obtained equation. The classical theory of laminate composites is based on the similar assumptions, which gives ground to use this equation for an approximate estimation of the transverse shear stresses in in a layered composite package.

scholarly journals Effect of Irradiation on Ni-Inconel/Incoloy Heterostructures in Multimetallic Layered Composites

2021 ◽  
Vol 547 ◽  
pp. 152778
Author(s):  
Shiddartha Paul ◽  
Daniel Schwen ◽  
Michael P. Short ◽  
Kasra Momeni
Keyword(s):  
Layered Composites

scholarly journals Interface-dependent nucleation in nanostructured layered composites

APL Materials ◽  
2013 ◽  
Vol 1 (3) ◽  
pp. 032112 ◽  
Author(s):  
Irene J. Beyerlein ◽  
Jian Wang ◽  
Ruifeng Zhang
Keyword(s):  
Layered Composites
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