Stiffness of Patterns of Elastic Inclusions

2021 ◽  
Author(s):  
Daniel T. Eatough ◽  
Keith Seffen
Keyword(s):  
Elastic Inclusions

The Influence of the Shape and Rigidity of an Elastic Inclusion on the Transverse Flexure of Thin Plates

1943 ◽  
Vol 10 (2) ◽  
pp. A69-A75
Author(s):  
Martin Goland
Keyword(s):  
Stress Distribution ◽  
Future Study ◽  
Rigid Inclusion ◽  
Elastic Inclusion ◽  
Thin Plates ◽  
Elastic Plates ◽  
Perforated Plates ◽  
Circular Rigid Inclusion ◽  
Special Cases ◽  
Elastic Inclusions

Abstract The purpose of this paper is to investigate the influence of several types of inclusions on the stress distribution in elastic plates under transverse flexure. An “inclusion” is defined as a close-fitting plate of some second material cemented into a hole cut in the interior of the elastic plate. Depending upon the properties of the material of which it is composed, the inclusion is described as rigid or elastic. In particular, the solutions presented will deal with the effects of circular inclusions of differing degrees of elasticity and rigid inclusions of varying elliptical form. Since the rigid inclusion and the hole are limiting types of elastic inclusions, and the circular shape is a special form of the ellipse, plates with either a circular hole or a circular rigid inclusion are important special cases of this discussion. It is hoped that the present analysis of several types of inclusions will aid in a future study of perforated plates stiffened by means of reinforcing rings fitted into the holes.

Introduction

2015 ◽  
Author(s):  
Habib Ammari ◽  
Elie Bretin ◽  
Josselin Garnier ◽  
Hyeonbae Kang ◽  
Hyundae Lee ◽  
...  
Keyword(s):  
Optimal Control ◽  
Wave Propagation ◽  
Elastic Wave ◽  
Stochastic Modeling ◽  
Physical Parameters ◽  
Vibration Testing ◽  
Elastic Structures ◽  
Modeling And Analysis ◽  
Elastic Inclusions ◽  
Statistical Approaches

This book is about recent mathematical, numerical and statistical approaches for elasticity imaging of inclusions and cracks with waves at zero, single or multiple non-zero frequencies. It considers important developments in asymptotic imaging, stochastic modeling, and analysis of both deterministic and stochastic elastic wave propagation phenomena and puts them together in a coherent way. It gives emphasis on deriving the best possible imaging functionals for small inclusions and cracks in the sense of stability and resolution. For imaging extended elastic inclusions, the book develops accurate optimal control methodologies and examines the effect of uncertainties of the geometric or physical parameters on their stability and resolution properties. It also presents an asymptotic framework for vibration testing and a method for identifying, locating, and estimating inclusions and cracks in elastic structures by measuring their modal characteristics.

Stresses around two equal circular elastic inclusions in a pressurised cylindrical shell

1980 ◽  
Vol 11 (4) ◽  
pp. 257-263 ◽  
Author(s):  
D.H. Bonde ◽  
K.P. Rao
Keyword(s):  
Cylindrical Shell ◽  
Elastic Inclusions

The debonding of elastic inclusions and inhomogeneities

1991 ◽  
Vol 39 (4) ◽  
pp. 477-505 ◽  
Author(s):  
A Levy
Keyword(s):  
Elastic Inclusions
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