Registered Data

Contents

[CT132]

CT132 (1/1) : Dynamical problems in solid mechanics (74H) / Fracture and damage (74R) / General higher-order partial differential equations and systems of higher-order partial differential equations (35G)

Session Time & Room : 5C (Aug.25, 13:20-15:00) @E812
Type : Contributed Talk
Abstract : A number of numerical methods are developed by researchers to solve the linear/nonlinear, ordinary differential equations (ODEs) / partial differential equations (PDEs) developed for structural analysis such as vibration/bending/buckling/wave-propagation analysis in plates. The present talk is focused on a discussion of numerical approaches and their accuracy and convergence for plate vibrations i.e., linear PDE which can be extended as semi-analytic approaches to solving the nonlinear PDE during critical vibration analysis of plates.
Classification : 74H15, 74S25, 74G15
Format : Talk at Waseda University
Author(s) :
- Rahul Saini (H N B Garhwal Central University, Srinagar, Uttarakhand, India )

Session Time & Room : 5C (Aug.25, 13:20-15:00) @E812
Type : Contributed Talk
Abstract : The virtual element method is a modern discretization scheme for solving boundary value problems on polytopal meshes, sparing the explicit knowledge of element shape functions. In the context of numerical fracture mechanics, crack tip loading analyses and in particular crack growth simulations benefit from its ability of handling arbitrary complex meshes straightforwardly. This work aims to discuss challenges and opportunities of implementing concepts of fracture mechanics in the context of the virtual element method.
Classification : 74R10, 74S05, 74A45, Numerical Fracture Mechanics
Format : Talk at Waseda University
Author(s) :
- Kevin Schmitz (University of Kassel)
- Andreas Ricoeur (University of Kassel)

Session Time & Room : 5C (Aug.25, 13:20-15:00) @E812
Type : Contributed Talk
Abstract : The present study investigates the propagation of Stoneley waves at interface of two distinct imperfectly bonded solid half-spaces considering strain and kinetic energies localized at interface. Gurtin−Murdoch (1975) and Eremeyev (2016) approaches are used to derive interface strain energy density, stress tensor, kinetic energy density accounting for non-perfect interface. Comparative analysis of dispersion curves is done numerically and presented through graphs. The findings have applications in geosciences for non-destructive characterization of thin inter-phases between solids.
Classification : 74H10, 74B05
Format : Online Talk on Zoom
Author(s) :
- Arindam Nath (Department of Mathematics, School of Sciences, NIT Andhra Pradesh, India)
- Sudarshan Dhua (Department of Mathematics, School of Sciences, NIT Andhra Pradesh, India)

Session Time & Room : 5C (Aug.25, 13:20-15:00) @E812
Type : Contributed Talk
Abstract : This article determines a stress intensity factor (SIF) at the tip of an edge crack in two considered models. Problem-1 is an orthotropic strip of a finite thickness bonded by an orthotropic half-plane, and problem-2 is an orthotropic vertical semi-infinite strip. Edge cracks have been invaded perpendicularly by time-harmonic elastic waves. The system has been solved by using Fourier transform and Schmidt method to find the approximate analytical expression for the SIF. The variations of in plane normalized SIF for the different crack lengths and thickness were depicted graphically (2D) for different particular cases.
Classification : 74R99, 42A38, 74J15
Format : Online Talk on Zoom
Author(s) :
- Neha Trivedi (Indian Institute of Technology (BHU) Varanasi, India)
- Neha Trivedi (Indian Institute of Technology (BHU) Varanasi, India)

Session Time & Room : 5C (Aug.25, 13:20-15:00) @E812
Type : Contributed Talk
Abstract : Recent results imply the coexistence of compressive and anti-compressive vibration modes for massive Rayleigh beams, leading to a harmonic phase-transition within the structure. As a result, the underlying wave operators switch between causal and anti-causal, a phenomenon which is entirely absent from the usual Euler-Bernoulli simplification. For this talk, we'll discuss the wide-ranging implications of this for the control of flexible structures, specially the partial loss of controllabity and observability.
Classification : 35Gxx, 35Pxx, 35Qxx
Author(s) :
- Arthur Bizzi (IMPA)
- Arthur Bizzi (IMPA)