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Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 5/2022

07-11-2022

Effect of the Initial Stress State on the Effective Properties of Piezocomposite

Author: A. A. Pan’kov

Published in: Mechanics of Composite Materials | Issue 5/2022

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Abstract

A new numerical-analytical solution of the “effective modulus” problem of statistical mechanics of piezocomposites was obtained considering the presence of an initial stressed electromagnetic-elastic state of an irregular structure with ellipsoidal inhomogeneities. The Green function method for a homogeneous piezoelectromagnetic elastic medium was used. The new solution was validated by comparing with the known asymptotic solution for the case of an elastic laminate in the presence of an initial stress state in its layers. Results of numerical analysis of an influence of the initial stress state on the effective properties of elastic two-phase composites with layered, unidirectional-fibrous, and granular structures were presented. For a composite with spherical inclusions, the appearance of “induced” anisotropy at the macrolevel, owing to the presence of the initial stress state of the structure, was revealed. A numerical analysis of influence of the axisymmetric macrolevel initial stress state on the effective transversely isotropic electroelastic properties of a PZT-4/fluoroplastic composite with unidirectional piezoelectric fibers was presented. The effective characteristics of the piezocomposite significantly depending on the initial stress state were revealed.
previous article A Nonlinear Analysis of the Mechanical Behavior of Functionally Graded Shape-Memory Alloy Beams
next article Experimental Investigation into the Low-velocity Impact Behavior of Thick and Thin Laminated Composites

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Appendix
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Literature
1.
К. Washizu, Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford (1982).
2.
A. N. Guz’, “On the determination of the reduced elastic constants of composite layered materials with initial stresses,” Report Academy of Sciences of the Ukrainian SSR, Ser. А., No. 3, 216-219 (1975).
3.
A. N. Guz’, Elastic Waves in Bodies with Initial Stresses. — Vol. 1 General Problems; Vol. 2. Dependencies of Propagation, Naukova Dumka, Kiev (1986).
4.
V. V. Alekhin, B. D. Aninin, and A. G. Kolpakov, Synthesis of Layered Materials and Structures [in Russian], Institute of Hydrodynamics Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1988).
5.
S. D. Akbarov and M. S. Guliev, “Axisymmetric longitudinal wave propagation in a finite prestretched compound circular cylinder made of incompressible materials,” Int. Appl. Mech., 45, No. 10, 1141-1151 (2009).CrossRef
6.
S. D. Akbarov, “Recent investigations on dynamic problems for an elastic body with initial (residual) stresses,” Int. Appl. Mech., 43, No. 12, 1305-1324 (2007).CrossRef
7.
S. D. Akbarov, Stability Loss and Buckling Delamination: Three-dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer (2013).
8.
M. S. Guliev, A. I. Seifulaev, and D. N. Abdulaeva, “Investigation of the distribution of elastic waves in the composite cylinder with the initial torsion,” Struct. Mech. Eng. Construct. and Buildings, No. 5, 404-413 (2018).
9.
T. I. Belyankova and V. V. Kalinchuk, “Properties of prestressed isotropic materials Ttking into account higher-order elastic moduli,” Sci. in the South of Russia, No. 2, 3-12 (2017).
10.
A. N. Guz’, “On the ultrasonic non-destructive method for determining stresses in structural elements and in near-surface layers of materials: focus on Ukrainian research (Review),” Appl. Mech., 50, No. 3, 3-30 (2014).
11.
G. G. Kuliev and M. D. Jabbarov, “To elastic waves propagation in strained nonlinear anisotropic media,” Proc. Sci. Earth Acad. Sci. Azerbaijan, No. 2, 103-112 (1998).
12.
A. N. Guz’ Fundamentals of the Three-dimensional theory of Stability of Deformable Bodies, Springer (1999).
13.
S. D. Akbarov, Dynamics of Pre-strained Bi-material Elastic Systems: Linearized Three-dimensional Approach, Springer (2016).
14.
S. Gupta, D. K. Majhi, S. Kundu, and S. K. Vishwakarma, “Propagation of torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous half-space,” Appl. Math. Comput., 218, No. 9, 5655-5664 (2012).
15.
W. T. Hu and W. Y. Chen, “Influence of lateral initial pressure on axisymmetric wave propagation in hollow cylinder based on first power hypo-elastic model,” J. Central South Univ., 21, No. 2, 753-760 (2014).CrossRef
16.
U. B. Yesil, “Forced and natural vibrations of an orthotropic pre—stressed rectangular plate with neighboring two cylindrical cavities,” Comput. Mater. Continua, 53, No. 1, 1-22 (2017).
17.
A. G. Kolpakov, “Effect of influation of initial stresses on the homogenized characteristics of composite,” Mech. Mater., 37, No. 8, 840-854 (2005).CrossRef
18.
A. G. Kolpakov, “On the dependence of the velocity of elastic waves in composite media on initial stresses,” Comput. Struct., 44, Nos. 1-2, 97-101 (1992).CrossRef
19.
A. G. Kolpakov, “Averaged characteristics of stressed laminated media,” J. Eng. Phys., 68, No. 5, 605-613 (1995).
20.
A. G. Kolpakov, Averaged models of elastic composite materials and members of structures [in Russian], Dissertation ... Dr. Phys.-Math. Sci.: 01.02.04. — Novosibirsk, (2002).
21.
A. A. Pan’kov, A. N. Anoshkin, P. V. Pisarev, and S. R. Bayandin, “Using an electromechanical analogy to describe the damping characteristics of an MFC actuator,” IOP Conf. Ser: Mater. Sci. Eng., 1093-012023, 1-6 (2021).
22.
B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Publ. House of Moscow Univer., Moscow (1984).
23.
E. I. Grigolyuk and L. A. Fil’shtinskii Perforated Plates and Shells [in Russian], Nauka, Moscow (1970).
24.
S. D. Volkov and V. P. Stavrov, Statistical Mechanics of Composite Materials [in Russian], Publish. House Belarussian Univer., Minsk (1978).
25.
T. D. Shermergor, Theory of Elasticity of Microheterogeneous [in Russian], Nauka, Moscow (1976).
26.
L. P. Khoroshun, B. P. Maslov, and P. V. Leschenko, Prediction of Effective Properties of Piezoactive Composite Materials [in Russian], Naukova Dumka, Kiev (1989).
27.
A. A. Pan’kov, Statistical Mechanics of Piezocomposites [in Russian], Publish. House Perm State Tech. Univer., Perm (2009).
28.
A. A. Pan’kov, “Electromagnetic coupling factors for a composite and piezoactive phases,” Physical Mesomechanics, 14, No. 2, 93-99 (2011).
29.
X. Guo and P. Wei, “Dispersion relations of elastic waves in one-dimensional piezoelectric/piezomagnetic phononic crystal with initial stresses,” Ultrasonics, 66, 72-85 (2016).CrossRef
30.
A. Dasdemir, “Forced vibrations of pre-stressed sandwich plate-strip with elastic layers and piezoelectric core,” Int. Appl. Mech., 54, No. 4, 480-493 (2018).CrossRef
31.
D. Berlinkur, D. Kerran, and G. Jaffe, “Piezoelectric and piezomagnetic materials and their application in tranducers,” in: Physical Acoustics. Vol. 1: Methods and devices of ultrasonic investigations. Part A, Mir, Moscow (1966).
Metadata
Title
Effect of the Initial Stress State on the Effective Properties of Piezocomposite
Author
A. A. Pan’kov
Publication date
07-11-2022
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 5/2022
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-022-10063-w

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