Relevant bibliographies by topics / Elastic-viscoelastic correspondence principle

Academic literature on the topic 'Elastic-viscoelastic correspondence principle'

Author: Grafiati
Published: 14 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Elastic-viscoelastic correspondence principle.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Elastic-viscoelastic correspondence principle"

1

Mukherjee, S., and Glaucio H. Paulino. "The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited." Journal of Applied Mechanics 70, no. 3 (May 1, 2003): 359–63. http://dx.doi.org/10.1115/1.1533805.

Full text
Abstract:
Paulino and Jin [Paulino, G. H., and Jin, Z.-H., 2001, “Correspondence Principle in Viscoelastic Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132], have recently shown that the viscoelastic correspondence principle remains valid for a linearly isotropic viscoelastic functionally graded material with separable relaxation (or creep) functions in space and time. This paper revisits this issue by addressing some subtle points regarding this result and examines the reasons behind the success or failure of the correspondence principle for viscoelastic functionally graded materials. For the inseparable class of nonhomogeneous materials, the correspondence principle fails because of an inconsistency between the replacements of the moduli and of their derivatives. A simple but informative one-dimensional example, involving an exponentially graded material, is used to further clarify these reasons.
APA, Harvard, Vancouver, ISO, and other styles
2

Kovarik, V. "Distributional Concept of the Elastic-Viscoelastic Correspondence Principle." Journal of Applied Mechanics 62, no. 4 (December 1, 1995): 847–52. http://dx.doi.org/10.1115/1.2896010.

Full text
Abstract:
Distribution concept of physical variables in viscoelasticity theory enables to represent the stress-strain relations in the form of convolution equations, that is algebraic equations in the convolution algebra of right-sided distributions. These equations can be handled in much the same way that one handles matrix equations. Distributional correspondence principle is formulated as a transition process from the algebra of numbers (elastic solution) to the convolution algebra of distributions (viscoelastic solution). Corresponding elements and operations, respectively, in both algebras are established. Applications to a wide class of problems of the plate and shell theory are shown.
APA, Harvard, Vancouver, ISO, and other styles
3

Igumnov, Leonid, I. P. Маrkov, and A. V. Amenitsky. "A Three-Dimensional Boundary Element Approach for Transient Anisotropic Viscoelastic Problems." Key Engineering Materials 685 (February 2016): 267–71. http://dx.doi.org/10.4028/www.scientific.net/kem.685.267.

Full text
Abstract:
This paper presents a three-dimensional direct boundary element approach for solving transient problems of linear anisotropic elasticity and viscoelasticity. In order to take advantage of the correspondence principle between viscoelasticity and elasticity the formulation is given in the Laplace domain. Anisotropic viscoelastic fundamental solutions are obtained using the correspondence principle and anisotropic elastic Green’s functions. The standard linear solid model is used to represent the mechanical behavior of viscoelastic material. Solution in time domain is calculated via numerical inversion by modified Durbin’s method. Numerical example is provided to validate the proposed boundary element formulation.
APA, Harvard, Vancouver, ISO, and other styles
4

Hui, D. "Viscoelastic response of floating ice plates under distributed or concentrated loads." Journal of Strain Analysis for Engineering Design 21, no. 3 (July 1, 1986): 135–43. http://dx.doi.org/10.1243/03093247v213135.

Full text
Abstract:
This paper deals with the elastic and viscoelastic deflections and stresses of non-homogeneous rectangular or infinite floating ice plates subjected to central distributed lateral loads, where the loading region is of rectangular shape, or concentrated loads. The analysis takes into account the variation of Young's modulus of ice in the thickness direction. The Rayleigh—Ritz procedure is used to obtain the elastic solution for the deflections and bending moments, while the viscoelastic solution is obtained from the elastic response using the correspondence principle. Closed form Bessel-type elastic and viscoelastic solutions are obtained for infinite floating ice plates. Comparisons are made between the time-dependent response of infinite and finite square floating ice plates.
APA, Harvard, Vancouver, ISO, and other styles
5

Schanz, M., and A. H. D. Cheng. "Dynamic Analysis of a One-Dimensional Poroviscoelastic Column." Journal of Applied Mechanics 68, no. 2 (July 1, 2000): 192–98. http://dx.doi.org/10.1115/1.1349416.

Full text
Abstract:
The response due to a dynamic loading of a poroviscoelastic one-dimensional column is treated analytically. Biot’s theory of poroelasticity is generalized to poroviscoelasticity using the elastic-viscoelastic correspondence principle in the Laplace domain. Damping effects of the solid skeletal structure and the solid material itself are taken into account. The fluid is modeled as in the original Biot’s theory without any viscoelastic effects. The solution of the governing set of two coupled differential equations known from the purely poroelastic case is converted to the poroviscoelastic solution using the developed elastic-viscoelastic correspondence in Laplace domain. The time-dependent response of the column is achieved by the “Convolution Quadrature Method” proposed by Lubich. Some interesting effects of viscoelasticity on the response of the column caused by a stress, pressure, and displacement loading are studied.
APA, Harvard, Vancouver, ISO, and other styles
6

Zhang, W. X., R. G. Liu, and Y. Bai. "Applications of the symplectic method in quasi-static analysis for viscoelastic functionally graded materials." Engineering Computations 34, no. 4 (June 12, 2017): 1314–31. http://dx.doi.org/10.1108/ec-02-2016-0063.

Full text
Abstract:
Purpose For general quasi-static problems of viscoelastic functionally graded materials (VFGMs), the correspondence principle can be applied only for simple structures with a closed form solution of the corresponding elastic problem exists. In this paper, a new symplectic approach, according to the correspondence principle between linearly elastic and viscoelastic solids, is proposed for quasi-static VFGMs. Design/methodology/approach Firstly, by employing the method of separation of variables, all the fundamental eigenvectors of the governing equations are obtained analytically. Then, the satisfactions of boundary conditions prescribed on the ends and laterals are discussed based on the variable substitution and the eigenvector expansion methods. Findings In the numerical examples, some boundary condition problems are given. The results show the local effects due to the displacement constraints. Originality/value The paper provides an innovative technique for quasi-static problems of VFG Ms. Its correctness and the efficiency are well suported by numerical results.
APA, Harvard, Vancouver, ISO, and other styles
7

Kachuck, S. B., and L. M. Cathles. "Benchmarked computation of time-domain viscoelastic Love numbers for adiabatic mantles." Geophysical Journal International 218, no. 3 (June 11, 2019): 2136–49. http://dx.doi.org/10.1093/gji/ggz276.

Full text
Abstract:
SUMMARYThe viscoelastic load Love numbers encapsulate the Earth’s rheology in a remarkably efficient fashion. When multiplied by a sudden increment of spherical harmonic load change, they give the horizontal and vertical surface displacements and gravity change at all later times. Incremental glacial load changes thus need only be harmonically decomposed, multiplied by the Love numbers and summed to predict the Earth’s response to glacial load redistributions. The computation of viscoelastic Love numbers from the elastic, viscous and adiabatic profiles of the Earth is thus the foundation upon which many glacial isostatic adjustment models are based. Usually, viscoelastic Love numbers are computed using the Laplace transform method, employing the correspondence principle to convert the viscoelastic equations of motion into the elastic equations with complex material parameters. This method works well for a fully non-adiabatic Earth, but can accommodate realistic partially adiabatic and fully adiabatic conditions only by changing the Earth’s density profile. An alternative method of Love number computation developed by Cathles (1975) avoids this dilemma by separating the elastic and viscous equations of motion. The separation neglects a small solid-elastic/fluid-elastic transition for compressible deformation, but allows freely defining adiabatic, partially adiabatic or fully non-adiabatic profiles in the mantle without changing the Earth’s density profile. Here, we update and fully describe this method and show that it produces Love numbers closely similar to those computed for fully non-adiabatic earth models computed by the correspondence principle, finite element and other methods. The time-domain method produces Love numbers as good as those produced by other methods and can also realistically accommodate any degree of mantle adiabaticity. All method implementations are available open source.
APA, Harvard, Vancouver, ISO, and other styles
8

Yancey, R. N., and Marek-Jerzy Pindera. "Micromechanical Analysis of the Creep Response of Unidirectional Composites." Journal of Engineering Materials and Technology 112, no. 2 (April 1, 1990): 157–63. http://dx.doi.org/10.1115/1.2903302.

Full text
Abstract:
The paper outlines the use of the micromechanics model proposed by Aboudi in predicting the creep response of unidirectional composites consisting of linearly viscoelastic matrices and elastic fibers. The closed-form expressions for the effective elastic moduli given in terms of the phase moduli and volume fractions provided by the micromechanics model facilitate a straightforward application of the viscoelastic Correspondence Principle. The inversion of the effective moduli in the Laplace transform domain to the time domain is subsequently accomplished using the Bellman method. The predictions of the model are compared with the creep response of T300/934 graphite/epoxy unidirectional coupons at two different temperatures. Very good correlation between theory and experiment is illustrated for the linearly viscoelastic response characterized by relatively small creep strains.
APA, Harvard, Vancouver, ISO, and other styles
9

Hilton, Harry. "The elusive and fickle viscoelastic Poisson’s ratio and its relation to the elastic-viscoelastic correspondence principle." Journal of Mechanics of Materials and Structures 4, no. 7-8 (December 26, 2009): 1341–64. http://dx.doi.org/10.2140/jomms.2009.4.1341.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Wu, Jun. "Uniaxial Compression Creep Prediction of Asphalt Mixture Using the Eshelby Equivalent Inclusion Method." Advanced Materials Research 1061-1062 (December 2014): 410–13. http://dx.doi.org/10.4028/www.scientific.net/amr.1061-1062.410.

Full text
Abstract:
Asphalt mixture was simply treated as a two-phase composite, in which coarse aggregates are embedded into asphalt mastic matrix. According to the elastic-viscoelastic correspondence principle, an elastic micromechanical method is extended for predicting viscoelastic properties of asphalt mixture, which is simply treated as elastic coarse aggregate inclusions periodically and isotropically embedded into viscoelastic asphalt mastic matrix. The Burgers model is adopted for characterizing the matrix mechanical behavior, so that the homogenized relaxation modulus of asphalt mixture in compression creep is derived. After a series of uniaxial compression creep tests are performed on asphalt mastic in different stress conditions in order to determine the matrix constitutive parameters, the presented framework is validated by comparison with the experiment, and then some predictions to uniaxial compression creep behavior of asphalt mixture in different stress conditions are given.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Conference papers on the topic "Elastic-viscoelastic correspondence principle"

1

Hilton, Harry H. "Sensitivity Analyses for Viscoelastic Strength of Materials and Corresponding Continuum Mechanics Formulations." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68832.

Full text
Abstract:
Comparison analyses are conducted for straight and curved viscoelastic beams based on Euler-Bernoulli strength of materials prescriptions and on rigorous formulations in terms of 3-D field equations. The concepts of elastic straight and curved beam analyses are well established. In the present paper, these geometric principles are extended to linear viscoelastic materials. The beams are considered subjected to un-symmetric bending as well as to thermal expansions. The distinct conditions leading to shear center and neutral axis motions in time, previously observed in straight beams are investigated. The applicability of the elastic-viscoelastic correspondence principle (analogy) in terms of integral transforms is demonstrated by application to several simulations. Comparison studies are based on pure bending loading configurations as these offer the least distinct geometric deformation patterns.
APA, Harvard, Vancouver, ISO, and other styles
2

Chao, C. K., and C. C. Hsiao. "Stress Analysis of a Elastic Cracked Layer Bonded to a Viscoelastic Substrate." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-2299.

Full text
Abstract:
The effect of a viscoelastic substrate on an elastic cracked layer under an in-plane concentrated load is solved and discussed in this study. Based on a correspondence principle, the viscoelastic solution is directly obtained from the corresponding elastic one. The elastic solution in an anisotropic trimaterial is solved as a rapidly convergent series in terms of complex potentials via the successive iterations of the alternating technique in order to satisfy the continuity condition along the interfaces between dissimilar media. This trimaterial solution is then applied to a problem of a thin layer bonded to a half-plane substrate. Using the standard solid model to formulate the viscoelastic constitutive equation, the real time stress intensity factors can be directly obtained by performing the numerical calculations. The results obtained in this paper are useful in studying the problem with defects where a crack is assumed to exist in an elastic body that is bonded to a viscoelastic substrate.
APA, Harvard, Vancouver, ISO, and other styles
3

Yazdchi, K., and M. Salehi. "On Viscoelasticity in CNT-Reinforced Polymer Composites." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37820.

Full text
Abstract:
The nanocomposites exhibit high electrical conductivity, significant non-linear optical behavior and electroluminescence, while having substantially improved mechanical properties relative to the neat polymer. However, very limited attention has been paid to the viscoelastic behavior of nanotube reinforced polymer composites (NTRPCs). In this paper, the constitutive relation and linear viscoelastic behavior of NTRPC are studied using methods of micromechanics and nanomechanics. First, the effects of volume fraction, aspect ratio and orientation of carbon nanotubes (CNTs), on the overall elastic properties of NTRPC are obtained through a micromechanical technique based on Eshelby’s Equivalent Inclusion (EEI) and Mori-Tanaka (MT) method. Secondly, by incorporating the Dynamic Correspondence Principle (DCP), the elastic solution is extended to solve the related linear viscoelastic problem. The results of this study are in good agreement when compared with previous analytical and experimental data.
APA, Harvard, Vancouver, ISO, and other styles
4

Guan, Huimin, and Ronald F. Gibson. "The Development of Analytical Models for Predicting Viscoelastic Damping in Woven Fabric-Reinforced Polymer Matrix Composites." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-1039.

Full text
Abstract:
Abstract This paper describes the development of a closed-form model and a finite element model for studying viscoelastic damping in woven fabric-reinforced polymer matrix composites. The closed-form model was obtained by first deriving an elastic solution based on the mechanics of materials theory, then applying the Elastic-Viscoelastic Correspondence Principle to the elastic solution. The damping loss factors were determined from the complex moduli. Three-dimensional finite element models with various mesh densities were constructed based on the actual geometry of a plain weave fabric-reinforced composite unit cell. Three different loading cases were designed to simulate extensional, shear and bending deformations of the unit cell. The strain energies stored in the fiber and matrix elements for each loading case were conveniently determined from the finite element analysis. A strain energy formulation was used to calculate the damping loss factors for each loading case. Experiments were conducted using an impulse-frequency response technique to measure damping in beam samples made of plain weave E-glass fabric-reinforced vinyl ester resin matrix composite. The predictions from both analytical models show reasonably good agreement with experimental data.
APA, Harvard, Vancouver, ISO, and other styles
5

Finegan, Ioana C., Gary G. Tibbetts, and Ronald F. Gibson. "Damping Properties of Vapor-Grown Carbon Fiber Composites." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1640.

Full text
Abstract:
Abstract The objective of this paper is to investigate analytically and experimentally the dynamic mechanical properties of vapor grown carbon fiber (VGCF)/thermoplastic composites. The experimental results show that, as predicted, very low fiber aspect ratios may produce significant improvements in damping. Since VGCF have submicron diameters and lengths, with a fiber aspect ratio, l/d = 19, good dynamic properties are obtained by using them as reinforcement in a thermoplastic. Fiber length distributions and orientation in the injection molded samples are determined by scanning electron microscopy (SEM). An analytical model based on the elastic-viscoelastic correspondence principle is developed to predict elastic properties in short fiber composites having a preferential fiber orientation in the direction of injection. The mechanical damping and storage modulus are analyzed experimentally by using a Dynamic Mechanic Analyzer (DMA).
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Elastic-viscoelastic correspondence principle' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography