Boundary element modeling of pyroelectric solids with shell inclusions

• Autorzy: Sulym H. , Pasternak I. , Pasternak V.
• Języki publikacji: EN

Abstrakty

EN

The paper presents general boundary element approach for analysis of thermoelectroelastic (pyroelectric) solids containing shell-like electricity conducting permittive inclusions. The latter are modeled with opened surfaces with certain boundary conditions on their faces. Rigid displacement and rotation, along with constant electric potential of inclusions are accounted for in these boundary conditions. Formulated boundary value problem is reduced to a system of singular boundary integral equations, which is solved numerically by the boundary element method. Special attention is paid to the field singularity at the front line of a shell-like inclusion. Special shape functions are introduced, which account for this square-root singularity and allow accurate determination of field intensity factors. Numerical examples are presented.

Słowa kluczowe

EN

pyroelectric; anisotropic; rigid shell-like inclusion; field intensity factors

PL

piroelektryczność; anizotropia; współczynnik natężenia pola

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 3
• Strony: 727--737
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Sulym H.

• Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland

autor

Pasternak I.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Pasternak V.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

Bibliografia

• [1] Lopes, V. Jr., Steffen, V. Jr. and Savi, M.A (eds): Dynamics of Smart Systems and Structures, Springer, London, 2016.
• [2] Fang, D. and Liu, J.: Fracture mechanics of piezoelectric and ferroelectric solids, Springer, London, 2013.
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• [4] Kaczyński, A. and Kozłowski, W.: Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow, International Journal of Solids and Structures, 46, 1772-1777, 2009.
• [5] Kaczyński, A.: Thermal stress analysis of a three-dimensional anticrack in a transversely isotropic solid, International Journal of Solids and Structures, 51, 2382-2389, 2014.
• [6] Kaczyński, A.: On 3D problems of thermoelastostatics for transversely isotropic solids with anticracks, European Journal of Mechanics / A Solids, doi: 10.1016/j.euromechsol.2016.01.011, 2016.
• [7] Kaczyński, A. and Kaczyński, B.: On 3D problem of an anticrack under vertically uniform heat flow in a transversely isotropic electro-thermo-elastic space, European Journal of Mechanics / A Solids, doi: 10.1016/j.euromechsol.2017.06.004, 2017.
• [8] Kirilyuk, V.S.: Stress state of a piezoceramic body with a plane crack opened by a rigid inclusion, International Applied Mechanics, 44, 7, 757-768, 2008.
• [9] Pasternak, I., Pasternak, R., Pasternak, V. and Sulym, H.: Boundary element analysis of 3D cracks in anisotropic thermomagnetoelectroelastic solids, Engineering Analysis with Boundary Elements, 74, 70-78, 2017.
• [10] Pasternak, I., Pasternak, R. and Sulym, H.: A comprehensive study on Green’s functions and boundary integral equations for 3D anisotropic thermomagnetoelectroelasticity, Engineering Analysis with Boundary Elements, 64, 222-229, 2016.
• [11] Pasternak, I.: Coupled 2D electric and mechanical fields in piezoelectric solids containing cracks and thin inhomogeneities, Engineering Analysis with Boundary Elements, 35, 678-690, 2011.
• [12] Qin, Q.H.: Green’s function and boundary elements of multifield materials, Elsevier, Oxford, 2007.
• [13] Mi, Y. and Aliabadi, M.H.: Dual boundary element method for three-dimensional fracture mechanics analysis, Engineering Analysis with Boundary Elements, 10, 161-171, 1992.
• [14] Dunn, M.L.: Micromechanics of coupled electroelastic composites: effective thermal expansion and pyroelectric coefficients, J. Appl. Phys., 73, 5131-5140, 1993.
• [15] Pasternak, I., Pasternak, R. and Sulym, H.: Temperature field and heat flux that do not induce stress and electric displacement in a free thermoelectroelastic anisotropic solid, Mechanics Research Communications, 57, 40-43, 2014.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).