Effective properties of regular elastic laminated shell composite

Guinovart-Sanjuán, David; Rodrı́guez-Ramos, Reinaldo; Guinovart-Dı́az, Raúl; Bravo‐Castillero, Julián; Sabina, Federico J.; Merodio, J.; Lebon, Frédéric; Dumont, Serge; Conci, Aura

doi:10.1016/j.compositesb.2015.09.051

Cited by 23 publications

(39 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(12)- (18) of [14]. The effective coefficients for a two-layer laminated shell composite with isotropic layers and imperfect contact condition at the interface have the general analytic expression …”

Section: Homogenization Of Two-layer Laminated Shell Composites With mentioning

confidence: 99%

“…and interface contact conditions, (1)- (3) can be rewritten for the displacement vector function [14].…”

Section: The Linear Elastic Problemmentioning

confidence: 99%

“…In [10][11][12][13] several mathematical methods have been used to derive analytical expression for the elastic properties of laminated shell composites. As a particular case, in [14], the expression of the effective coefficients for a curvilinear shell composite with perfect contact at the interface is obtained.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Behavior of laminated shell composite with imperfect contact between the layers

Guinovart-Sanjuán

Rizzoni

Rodrı́guez-Ramos

et al. 2017

Composite Structures

View full text Add to dashboard Cite

The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.

show abstract

Section: Homogenization Of Two-layer Laminated Shell Composites With mentioning

confidence: 99%

“…and interface contact conditions, (1)- (3) can be rewritten for the displacement vector function [14].…”

Section: The Linear Elastic Problemmentioning

confidence: 99%

See 1 more Smart Citation

Behavior of laminated shell composite with imperfect contact between the layers

Guinovart-Sanjuán

Rizzoni

Rodrı́guez-Ramos

et al. 2017

Composite Structures

View full text Add to dashboard Cite

show abstract

“…The second and the third steps lead to an one-dimensional cell problem which has analytical solutions and gives closed forms for the effective stiffness coefficients. The homogenization in these two steps is based on the concept of generalized periodicity presented in Tsalis et al (2012) (see also Guinovart-Sanjuan et al (2016) for a more general methodology of shell structures) and follows the schema of the step-by-step homogenization in Tsalis et al (2015). The method proposed in this paper reduces to the known results for strictly circular or non-wavy composites or laminated tubes as a way of validation.…”

Section: Introductionmentioning

confidence: 99%

“…Shell composites are the subject of intense research effort recently (see Guinovart-Sanjuan et al (2016) for a general methodology of homogenization and a nice short survey on elastic laminate shell composites). Previously, Popovich and Fedai (1997) presented the axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube.…”

Section: Introductionmentioning

confidence: 99%

Effective behavior of thermo-elastic tubes with wavy layers

Tsalis

Chatzigeorgiou

Charalambakis

2016

Composites Part B: Engineering

View full text Add to dashboard Cite

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractIn the present article, the homogenization of a composite star-shaped tube with numerous thin, periodic, elastic wavy layers, is presented. The composite exhibits a multiscale periodicity allowing for a multistep asymptotic homogenization scheme starting from the finest scale. The scheme gives the complete effective thermoelastic behavior of the composite. By a numerical example of a two-phase composite with sinusoidal wavy walls, whose effective behavior is an orhotropic material, the above method is illustrated.

show abstract

Dynamic micromechanical model for smart composite and reinforced shells

et al. 2022

View full text Add to dashboard Cite

A dynamic micromechanical model based on the asymptotic homogenization pertaining to smart composite and reinforced shells with piezoelectric and piezomagnetic constituents is developed in this paper. Central to the work is the recovery of the so‐called unit cell problems which allow the calculation of the effective coefficients. In turn, these are substituted into the governing equations to obtain a set of basic macroscopic variables which eventually yield asymptotic expansions of all field variables (mechanical stress, electric and magnetic displacement, heat flux etc.). Highlights of the presented dynamic model include the following: (1) the effective properties of the homogenized structure depend strongly on the curvature of the middle surface of the shell; (2) the effective properties are also temporal functions and not merely spatial ones as predicted by other models; (3) the effective properties reflect the influence of all involved constituent material parameters; and (4) the model captures not only the common product properties (magnetoelectricity, pyroelectricity, pyromagnetism) but also other ones relating current density to mechanical displacement, magnetic field, and temperature. These features essentially mean that the homogenized shell is characterized by inhomogeneity or quasi‐homogeneity after the homogenization process and also exhibits memory effect reminiscent of viscoelastic structures. If electrical conductivity is ignored and the effective properties are averaged over the entire time spectrum the results of the model converge to those of previously published quasi‐static models. If, as well, the electrical and magnetic effects are also suppressed the results of the model converge to those of the classical composite shell model.

show abstract

Effective properties of regular elastic laminated shell composite

Cited by 23 publications

References 28 publications

Behavior of laminated shell composite with imperfect contact between the layers

Behavior of laminated shell composite with imperfect contact between the layers

Effective behavior of thermo-elastic tubes with wavy layers

Dynamic micromechanical model for smart composite and reinforced shells

Contact Info

Product

Resources

About