Registered Data

Contents

1 [CT133]

[CT133]

Session Time & Room

CT133 (1/1) : 5D @E812 [Chair: Ashish Arora]

Classification

CT133 (1/1) : Waves in solid mechanics (74J) / Coupling of solid mechanics with other effects (74F) / Special kinds of problems in solid mechanics (74M)

[00208] Love wave along the interface with triangular irregularity

Session Time & Room : 5D (Aug.25, 15:30-17:10) @E812
Type : Contributed Talk
Abstract : Propagation of the love wave is studied along the irregular interface between the porous layer and the elastic half-space. The porous layer is assumed to be saturated by two immiscible fluids. The irregularity at the interface is considered in the form of a triangular pit embedded in the half-space. The elastic half-space is considered to be initially stressed under the effect of gravity. A complex transcendental and implicit relation between the frequency and the phase speed of the Love wave is derived in the form of a dispersion relation. A numerical study is conducted to observe the effect of material parameters and irregularity on the behavior of the Love wave. A significant impact of the triangular pit, porosity, and frequency is observed on the phase speed of the propagating Love wave and depicted graphically.
Classification : 74J15
Format : Talk at Waseda University
Author(s) :
- Ashish Arora (I. K. Gujral Punjab Technical University)

[00861] Using elastic waves to measure mechanical stress

Session Time & Room : 5D (Aug.25, 15:30-17:10) @E812
Type : Contributed Talk
Abstract : In principle, elastic waves could be used to assess the stress in a material, as the higher the stress, the faster the wave will propagate. However, the speed also depends on material parameters, which is why there are no robust (non-invasive) measurement techniques. In this talk we show how to overcome these challenges by using universal relationships between stress and wave speeds. This has led to robust measurements with either bulk waves [2] or surface waves [3]. Universal relationships in continuum mechanics are those that hold for any type of material, or constitutive choice [1]. To measure stress, it would be ideal to have a relationship between the wave speed and the stress that holds for any elastic material. However, there is only one such universal relationship: $\rho v_{12}^2 - \rho v_{21}^2 = \sigma_{11} - \sigma_{22}$, where $\sigma_{ij}$ are the components of the Cauchy stress tensor, and $v_{12} (v_{21})$ is the speed of a shear wave propagating in the $x_1 (x_2)$ direction that is polarised in the $x_2 (x_1)$ direction. Inspired by this identity we propose, and experimentally validate, several new ultrasonic methods. [1] Truesdell, Clifford, and Walter Noll. "The non-linear field theories of mechanics." The non-linear field theories of mechanics. Springer, Berlin, Heidelberg, 1992. 1-579. [2] Li, Guo-Yang, Artur L. Gower, and Michel Destrade. "An ultrasonic method to measure stress without calibration: The angled shear wave method." The Journal of the Acoustical Society of America 148.6 (2020): 3963-3970. [3] Li, Guo-Yang, et al. "Non-destructive mapping of stress and strain in soft thin films through sound waves." Communications Physics 5.1 (2022): 1-7.
Classification : 74J05, 74B10, 74B15, 74J25
Format : Talk at Waseda University
Author(s) :
- Art Gower (University of Sheffield)
- Michel Destrade (University of Galway)
- Guo-yang Li (Harvard Medical School and Wellman Center for Photomedicine)

[00002] Propagation of Lamb wave in the plate of microstretch thermoelastic diffusion materials

Session Time & Room : 5D (Aug.25, 15:30-17:10) @E812
Type : Contributed Talk
Abstract : The present study investigates the effect of three thermoelastic theories on the propagation of Lamb wave in a linearly isotropic microstretch diffusion plate subject to stress free thermally insulated/impermeable and isothermal/isoconcentrated boundary conditions. The secular equations of the Lamb wave are obtained for both symmetric and anti-symmetric modes of vibration. The phase velocities and attenuation coefficients are computed numerically for a particular model and these results are compared for the three theories: Coupled Thermoelasticity theory, Lord-Shulman theory and Green-Lindsay theory. The velocity curves and the attenuation coefficients are illustrated graphically. It is observed that there are three modes of velocity and attenuation for each symmetric and anti-symmetric vibration. We have noticed that the velocity of the corresponding Lamb wave increases from first to third mode of symmetric vibration in both thermally insulated/impermeable and isothermal/isoconcentrated plates. At short wavelength, the secular equation of symmetric mode of vibration reduces to that of Rayleigh surface wave for both the plates. Some special cases are also deduced from the present formulation.
Classification : 74J15, 74B15, 80A17, 80A10
Format : Online Talk on Zoom
Author(s) :
- Sarat Singh Sanasam (Mizoram University)
- Sanjay Debnath (Mizoram University)

[00613] Phase-field systems coupled with large deformations

Session Time & Room : 5D (Aug.25, 15:30-17:10) @E812
Type : Contributed Talk
Abstract : Multiphase dynamical systems coupled with finite strain are used for the mathematical description of many phenomena in soft matter physics and biology, such as swelling and wetting processes of gels. We derive a thermodynamically consistent framework to couple phase fields and mechanics in a gradient flow structure allowing for various dissipation mechanisms. Combining modeling tools, rigorous analytical considerations, and the construction of numerical implementations allows us to understand practical and technical details from different perspectives.
Classification : 74Fxx
Format : Talk at Waseda University
Author(s) :
- Leonie Schmeller (Weierstrass Institute)
- Barbara Wagner (Weierstrass Institute)
- Dirk Peschka (Weierstrass Institute)

[00865] A novel hybrid microphysical–rheological multiscale constitutive model of ferroelectrics

Session Time & Room : 5D (Aug.25, 15:30-17:10) @E812
Type : Contributed Talk
Abstract : For describing mutually coupled dissipative processes in ferroelectrics, in particular ferroelectric domain switching and viscoelasticity, a hybrid micromechanical - rheological constitutive model is developed and embedded in the framework of a multiscale modeling approach. The mathematical theory is consistent against the background of rational thermodynamics and deals with two types of internal variables. The advanced modeling approach is applied to identify novel energy harvesting cycles exploiting dissipative effects, resulting in a major electric work output.
Classification : 74M25, 74F05, 74M05, 74N30, 74Q15
Format : Talk at Waseda University
Author(s) :
- Andreas Warkentin (University of Kassel)
- Andreas Ricoeur (University of Kassel)