On the identification of microstretch elastic moduli of materials by using vibration data of plates

Kiris, Ahmet; İnan, Esin

doi:10.1016/j.ijengsci.2008.01.001

Cited by 39 publications

(20 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The wave propagation problems in micropolar and microstretch media are discussed in [13,14], and it is shown that two and three new non-classical waves appear in micropolar and microstretch cases, respectively. Parallel to these results, we found some additional frequencies due to the microstretch character, among the classical frequencies [2]. As it is expected, these additional frequencies disappear when the microstretch material constants are taken zero.…”

Section: Introductionsupporting

confidence: 88%

“…3D vibration analysis of the microstretch plate We consider a homogeneous isotropic rectangular plate with length a, width b and thickness h [2]. A Cartesian coordinate system (x 1 , x 2 , x 3 ) is located at the mid-point of the plate.…”

Section: Fundamental Equations and Wave Propagation In Microstretch Mmentioning

confidence: 99%

“…Success of this theory depends on the correctness of the choice of system parameters. Dependence of the dynamic response of the medium to material properties allows us to establish a vibration analysis [2] for the determination of such material constants similar to the classical cases [3][4][5][6][7][8][9][10][11]. This analysis is based on 3-D microstretch theory and extended Ritz method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermo-microstretch elastic bodies and plane waves

İnan

Kiris

2011

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Section: Introductionsupporting

confidence: 88%

Section: Fundamental Equations and Wave Propagation In Microstretch Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermo-microstretch elastic bodies and plane waves

İnan

Kiris

2011

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

“…Therefore, experimental work using micropolar theory as a basis for the design of experimental setups (in order to measure at least some of the many material parameters) and the interpretation of measured data is still very rare". Few promising experimental results are available in the literature, for example, Askar (1972), Bazant and Christensen (1972), Gauthier and Jashman (1975), Fischer-Hjalmars (1981, Gauthier (1982), Yang and Lakes (1982), Pouget et al (1986) and Kiris and Inan (2008). Various other experimental studies in micropolar continuum are done by using micromechanical approach.…”

mentioning

confidence: 99%

“…Marin (2010) presented a domian of influence theorem in microstretch materials. Kiris and Inan (2008) estimated microstretch elastic moduli of materials by using vibration data of plates. Various problems on plane and surface waves in isotropic microstretch elastic materials are studied by many authors.…”

mentioning

confidence: 99%

Wave propagation in a transversely isotropic microstretch elastic solid

Singh¹,

Goyal²

2017

Mech Adv Mater Mod Process

View full text Add to dashboard Cite

Background: The theory of microstretch elastic bodies was first developed by Eringen (1971Eringen ( , 1990Eringen ( , 1999Eringen ( , 2004. This theory was developed by extending the theory of micropolar elastcity. Each material point in this theory has three deformable directors. Methods:The governing equations of a transversely isotropic microstretch material are specialized in x-z plane. Plane wave solutions of these governing equations results into a bi-quadratic velocity equation. The four roots of the velocity equation correspond to four coupled plane waves which are named as Coupled Longitudinal Displacement (CLD) wave, Coupled Longitudinal Microstretch (CLM) wave, Coupled Transverse Displacement (CTD) wave and Coupled Transverse Microrotational (CTM) wave. The reflection of Coupled Longitudinal Displacement (CLD) wave is considered at a stress-free surface of half-space of material. The appropriate displacement components, microrotation component and microstretch potential for incident and four reflected waves in half-space are formulated. These solutions for incident and reflected waves satisfy the boundary conditions at a stress free surface of half-space and we obtain a non-homogeneous system of four equations in four reflection coefficients (or amplitude ratios) along with Snell's law for the present model. Results: The speeds of plane waves are computed by Fortran program of bi-quadratic velocity equation for relevant physical constants of the material. The reflection coefficients of various reflected waves are also computed by Fortran program of Gauss elimination method. The speeds of plane waves are plotted against angle of propagation direction with vertical axis. The reflection coefficients of various reflected waves are plotted against the angle of incidence. These variations of speeds and reflection coefficients are also compared with those in absence of microstretch parameters. Conclusions: For a specific material, numerical simulation in presence as well as in absence of microstretch shows that the coupled longitudinal displacement (CLD) wave is fastest wave and the coupled transverse microrotational (CTM) is observed slowest wave. The coupled longitudinal microstretch (CLM) wave is an additional wave due to the presence of microstretch in the medium. The presence of microstretch in transversely isotropic micropolar elastic solid affects the speeds of plane waves and the amplitude ratios of various reflected waves.

show abstract

A Hollow Cylinder Problem in Microstretch Theory

İnan

Kiris²

2011

Springer Proceedings in Physics

View full text Add to dashboard Cite

On the identification of microstretch elastic moduli of materials by using vibration data of plates

Cited by 39 publications

References 13 publications

Thermo-microstretch elastic bodies and plane waves

Thermo-microstretch elastic bodies and plane waves

Wave propagation in a transversely isotropic microstretch elastic solid

A Hollow Cylinder Problem in Microstretch Theory

Contact Info

Product

Resources

About