A Green's Function Approach to Analyze the Dispersion Characteristics of Love Type Wave Due to an Impulsive Point Source in a Piezoelectric Layered Structure
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作者:
Ray, Anusree
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Indian Inst Technol, Dept Appl Math, Indian Sch Mines, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Dept Appl Math, Indian Sch Mines, Dhanbad 826004, Jharkhand, India
Ray, Anusree
[1
]
Singh, Abhishek K.
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Indian Inst Technol, Dept Appl Math, Indian Sch Mines, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Dept Appl Math, Indian Sch Mines, Dhanbad 826004, Jharkhand, India
Singh, Abhishek K.
[1
]
机构:
[1] Indian Inst Technol, Dept Appl Math, Indian Sch Mines, Dhanbad 826004, Jharkhand, India
Green's function;
Point source;
Heterogeneity;
Piezoelectricity;
Love-type wave;
PROPAGATION;
D O I:
10.1007/978-981-15-1338-1_1
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
An external source of disturbance in a material, even of point size, give rise to waves propagating away from the concerned region in its interior at a specified time. Such an impulse may be best described with the aid of Dirac delta function. Green's function is primarily utilized in solving these problems of elastodynamics. The present study focuses to investigate the propagation characteristics of Love-type wave influenced by an impulsive point source in a layered structure comprised of a heterogeneous piezoelectric layer lying over a heterogeneous isotropic half-space. Green's function technique is adopted in order to obtain the dispersion equation, which is further reduced to the classical result of Love wave. For sake of computation, numerical data of PZT-5H ceramics for the heterogeneous piezoelectric layer is considered. Influence of heterogeneity, piezoelectricity and dielectric constant associated with the heterogeneous piezoelectric layer; and effect of heterogeneity parameter and corresponding magnification factor concerned with heterogeneity in the isotropic half-space has been reported through graphical delineation.
机构:
Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
Kundu, Santimoy
Kumhar, Raju
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Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
Kumhar, Raju
Maity, Manisha
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Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
Maity, Manisha
Gupta, Shishir
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Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
机构:
Indian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, IndiaIndian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, India
Mahanty, Moumita
Kumar, Pulkit
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Indian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, IndiaIndian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, India
Kumar, Pulkit
Singh, Abhishek Kumar
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Indian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, IndiaIndian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, India
Singh, Abhishek Kumar
Chattopadhyay, Amares
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Indian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, IndiaIndian Sch Mines, Dept Math & Comp, Indian Inst Technol, Dhanbad 826004, Jharkhand, India