Effect of Imperfect Interface on a Thermal Inclusion with an Interior Radial Crack

2002 ◽  
pp. 33-38
Author(s):  
William Amenyah
Keyword(s):  
Radial Crack ◽  
Imperfect Interface ◽  
Thermal Inclusion

scholarly journals A note on the exact boundary controllability for an imperfect transmission problem

2021 ◽  
Author(s):  
S. Monsurrò ◽  
A. K. Nandakumaran ◽  
C. Perugia
Keyword(s):  
Exact Controllability ◽  
Dirichlet Condition ◽  
Adjoint Problem ◽  
Imperfect Interface ◽  
External Boundary ◽  
Exact Boundary Controllability ◽  
Multipliers Method ◽  
Exact Boundary ◽  
Hilbert Uniqueness Method ◽  
Uniqueness Method

AbstractIn this note, we consider a hyperbolic system of equations in a domain made up of two components. We prescribe a homogeneous Dirichlet condition on the exterior boundary and a jump of the displacement proportional to the conormal derivatives on the interface. This last condition is the mathematical interpretation of an imperfect interface. We apply a control on the external boundary and, by means of the Hilbert Uniqueness Method, introduced by J. L. Lions, we study the related boundary exact controllability problem. The key point is to derive an observability inequality by using the so called Lagrange multipliers method, and then to construct the exact control through the solution of an adjoint problem. Eventually, we prove a lower bound for the control time which depends on the geometry of the domain, on the coefficients matrix and on the proportionality between the jump of the solution and the conormal derivatives on the interface.

Dispersion and attenuation of shear wave in couple stress stratum due to point source

2021 ◽  
pp. 107754632199888
Author(s):  
Richa Kumari ◽  
Abhishek K Singh
Keyword(s):  
Point Source ◽  
Shear Wave ◽  
Couple Stress ◽  
Imperfect Interface ◽  
Layered Composite ◽  
Functionally Graded ◽  
Function Technique ◽  
Dispersive Wave ◽  
Attenuation Profiles ◽  
Dispersion And Attenuation

This study discusses the propagation of a horizontally polarised shear wave in a layered composite structure consisting of couple stress stratum over a functionally graded orthotropic viscoelastic substrate due to point source existing at an imperfect interface of the stratum and substrate. Because of the CS effect in the stratum, the existence of the second kind of dispersive (shear) wave is established along with conventional first kind of a shear wave. The closed-form dispersion equations and damping equations of the first and second kind of a dispersive wave are derived by adopting non-traditional boundary conditions and Green’s function technique. The effect of characteristic length of microstructure, imperfect bonding parameter and functional gradient parameters on velocity profiles and attenuation profiles of the first and second kind of dispersive wave has been computed numerically and delineated graphically. For validation, established results are matched with the classical one.

Ultrasonic Scattering by an Elastic Sphere in Matrix with Imperfect Interface

2004 ◽  
Vol 21 (10) ◽  
pp. 1979-1982 ◽  
Author(s):  
Wu Rui-Xin ◽  
Wang Yao-Jun
Keyword(s):  
Imperfect Interface ◽  
Elastic Sphere ◽  
Ultrasonic Scattering

Three-Dimensional Green’s Functions in Anisotropic Elastic Bimaterials With Imperfect Interfaces

2003 ◽  
Vol 70 (2) ◽  
pp. 180-190 ◽  
Author(s):  
E. Pan
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Three Dimensional ◽  
Imperfect Interface ◽  
Boundary Integral ◽  
Stress Fields ◽  
Superposition Method ◽  
Interface Conditions ◽  
Complementary Part ◽  
Anisotropic Elastic

In this paper, three-dimensional Green’s functions in anisotropic elastic bimaterials with imperfect interface conditions are derived based on the extended Stroh formalism and the Mindlin’s superposition method. Four different interface models are considered: perfect-bond, smooth-bond, dislocation-like, and force-like. While the first one is for a perfect interface, other three models are for imperfect ones. By introducing certain modified eigenmatrices, it is shown that the bimaterial Green’s functions for the three imperfect interface conditions have mathematically similar concise expressions as those for the perfect-bond interface. That is, the physical-domain bimaterial Green’s functions can be obtained as a sum of a homogeneous full-space Green’s function in an explicit form and a complementary part in terms of simple line-integrals over [0,π] suitable for standard numerical integration. Furthermore, the corresponding two-dimensional bimaterial Green’s functions have been also derived analytically for the three imperfect interface conditions. Based on the bimaterial Green’s functions, the effects of different interface conditions on the displacement and stress fields are discussed. It is shown that only the complementary part of the solution contributes to the difference of the displacement and stress fields due to different interface conditions. Numerical examples are given for the Green’s functions in the bimaterials made of two anisotropic half-spaces. It is observed that different interface conditions can produce substantially different results for some Green’s stress components in the vicinity of the interface, which should be of great interest to the design of interface. Finally, we remark that these bimaterial Green’s functions can be implemented into the boundary integral formulation for the analysis of layered structures where imperfect bond may exist.

Effects of the imperfect interface and viscoelastic loading on vibration characteristics of a quartz crystal microbalance

2018 ◽  
Vol 229 (7) ◽  
pp. 2967-2977 ◽  
Author(s):  
Chunlong Gu ◽  
Peng Li ◽  
Feng Jin ◽  
Gongfa Chen ◽  
Liansheng Ma
Keyword(s):  
Quartz Crystal Microbalance ◽  
Quartz Crystal ◽  
Imperfect Interface ◽  
Vibration Characteristics

scholarly journals Derivation of a model of imperfect interface with finite strains and damage by asymptotic techniques: an application to masonry structures

Meccanica ◽  
2017 ◽  
Vol 53 (7) ◽  
pp. 1645-1660 ◽  
Author(s):  
Maria Letizia Raffa ◽  
Frédéric Lebon ◽  
Raffaella Rizzoni
Keyword(s):  
Imperfect Interface ◽  
Finite Strains ◽  
Masonry Structures
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