Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications
A comprehensive micromechanical model for the analysis of a smart composite piezo-magneto-thermoelastic thin plate with rapidly varying thickness is developed in Part I of thiswork. The asymptotichomogenization model is developed using static equilibrium equations and the quasi-static approximation...
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-12-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/cls.2014.1.issue-1/cls-2014-0003/cls-2014-0003.xml?format=INT |
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| author | Hadjiloizi D. A. Kalamkarov A.L. Metti Ch. Georgiades A. V. |
| author_facet | Hadjiloizi D. A. Kalamkarov A.L. Metti Ch. Georgiades A. V. |
| author_sort | Hadjiloizi D. A. |
| collection | DOAJ |
| description | A comprehensive micromechanical model for
the analysis of a smart composite piezo-magneto-thermoelastic
thin plate with rapidly varying thickness is developed
in Part I of thiswork. The asymptotichomogenization
model is developed using static equilibrium equations and
the quasi-static approximation of Maxwell’s equations.
The work culminates in the derivation of general expressions
for effective elastic, piezoelectric, piezomagnetic, dielectric
permittivity and other coefficients. Among these
coefficients, the so-called product coefficients are determined
which are present in the behavior of the macroscopic
composite as a result of the interactions between
the various phases but can be absent from the constitutive
behavior of some individual phases of the composite structure.
The model is comprehensive enough to also allow for
calculation of the local fields of mechanical stresses, electric
displacement and magnetic induction. The present paper
determines the effective properties of constant thickness
laminates comprised of monoclinic materials or orthotropic
materials which are rotated with respect to their
principal material coordinate system. A further example
illustrates the determination of the effective properties of
wafer-type magnetoelectric composite plates reinforced
with smart ribs or stiffeners oriented along the tangential
directions of the plate. For generality, it is assumed that the
ribs and the base plate are made of different orthotropic
materials. It is shown in this work that for the purely elastic
case the results of the derived model converge exactly to
previously established models. However, in the more general
case where some or all of the phases exhibit piezoelectric
and/or piezomagnetic behavior, the expressions
for the derived effective coefficients are shown to be dependent
on not only the elastic properties but also on the
piezoelectric and piezomagnetic parameters of the constituent
materials. Thus, the results presented here represent
a significant refinement of previously obtained results. |
| first_indexed | 2024-04-12T21:32:37Z |
| format | Article |
| id | doaj.art-a343fa38ba7e42358a4740961a871d2e |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-04-12T21:32:37Z |
| publishDate | 2014-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-a343fa38ba7e42358a4740961a871d2e2022-12-22T03:16:00ZengDe GruyterCurved and Layered Structures2353-73962014-12-011110.2478/cls-2014-0003cls-2014-0003Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – ApplicationsHadjiloizi D. A.0Kalamkarov A.L.1Metti Ch.2Georgiades A. V.3DepartmentDepartmentDepartmentDepartmentA comprehensive micromechanical model for the analysis of a smart composite piezo-magneto-thermoelastic thin plate with rapidly varying thickness is developed in Part I of thiswork. The asymptotichomogenization model is developed using static equilibrium equations and the quasi-static approximation of Maxwell’s equations. The work culminates in the derivation of general expressions for effective elastic, piezoelectric, piezomagnetic, dielectric permittivity and other coefficients. Among these coefficients, the so-called product coefficients are determined which are present in the behavior of the macroscopic composite as a result of the interactions between the various phases but can be absent from the constitutive behavior of some individual phases of the composite structure. The model is comprehensive enough to also allow for calculation of the local fields of mechanical stresses, electric displacement and magnetic induction. The present paper determines the effective properties of constant thickness laminates comprised of monoclinic materials or orthotropic materials which are rotated with respect to their principal material coordinate system. A further example illustrates the determination of the effective properties of wafer-type magnetoelectric composite plates reinforced with smart ribs or stiffeners oriented along the tangential directions of the plate. For generality, it is assumed that the ribs and the base plate are made of different orthotropic materials. It is shown in this work that for the purely elastic case the results of the derived model converge exactly to previously established models. However, in the more general case where some or all of the phases exhibit piezoelectric and/or piezomagnetic behavior, the expressions for the derived effective coefficients are shown to be dependent on not only the elastic properties but also on the piezoelectric and piezomagnetic parameters of the constituent materials. Thus, the results presented here represent a significant refinement of previously obtained results.http://www.degruyter.com/view/j/cls.2014.1.issue-1/cls-2014-0003/cls-2014-0003.xml?format=INTsmart composite piezo-magneto-thermoelastic thin plate asymptotic homogenization effective properties product properties |
| spellingShingle | Hadjiloizi D. A. Kalamkarov A.L. Metti Ch. Georgiades A. V. Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part II – Applications Curved and Layered Structures smart composite piezo-magneto-thermoelastic thin plate asymptotic homogenization effective properties product properties |
| title | Analysis of Smart Piezo-Magneto-Thermo-Elastic
Composite and Reinforced Plates:
Part II – Applications |
| title_full | Analysis of Smart Piezo-Magneto-Thermo-Elastic
Composite and Reinforced Plates:
Part II – Applications |
| title_fullStr | Analysis of Smart Piezo-Magneto-Thermo-Elastic
Composite and Reinforced Plates:
Part II – Applications |
| title_full_unstemmed | Analysis of Smart Piezo-Magneto-Thermo-Elastic
Composite and Reinforced Plates:
Part II – Applications |
| title_short | Analysis of Smart Piezo-Magneto-Thermo-Elastic
Composite and Reinforced Plates:
Part II – Applications |
| title_sort | analysis of smart piezo magneto thermo elastic composite and reinforced plates part ii applications |
| topic | smart composite piezo-magneto-thermoelastic thin plate asymptotic homogenization effective properties product properties |
| url | http://www.degruyter.com/view/j/cls.2014.1.issue-1/cls-2014-0003/cls-2014-0003.xml?format=INT |
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