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[CT067]

CT067 (1/1) : Numerical methods in optimal control (49M) / Mechanics of deformable solids (74-) / Generalities, axiomatics, foundations of continuum mechanics of solids (74A)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @F312
Type : Contributed Talk
Abstract : We consider optimal control with partial differential equations (()PDE()) and present a numerical method based on machine learning including control error analysis. Physics-Informed Neural Networks (()PINN()) are used with the cost and penalty terms for the PDE as loss function. The model size is iteratively increased until the a posteriori estimated control error satisfies a given accuracy. The method is illustrated with numerical examples for 1D heat transfer and 3D turbine activation.
Classification : 49M41, 49M25, 68T05, 65G20
Format : Talk at Waseda University
Author(s) :
- Georg Vossen (Kreleld University of Applied Sciences)
- Semih Sirin (Kreleld University of Applied Sciences)
- Nicolai Friedlich (Kreleld University of Applied Sciences)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @F312
Type : Contributed Talk
Abstract : Most algorithms based on interior-point methods are categorized as line search since they compute a search direction on a straight line. In this talk, we propose an interior-point method for nonlinear programming problems that computes the search direction along with an ellipsoidal arc. We discuss the convergence of the proposed method, and numerical experiments indicate it can solve the CUTEst benchmark problems in fewer iterations. A modified method can further reduce the computation time.
Classification : 49M37, 65K05, 90C30, 90C51
Format : Talk at Waseda University
Author(s) :
- Einosuke Iida (Tokyo Institute of Technology)
- Makoto Yamashita (Tokyo Institute of Technology)
- Yaguang Yang (US NRC)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @F312
Type : Contributed Talk
Abstract : The impact of an internal energy source on an anisotropic fluid-saturated poro-elastic layer over a non-homogeneous semi-infinite medium is presented. The poroelastic layer is coated with a thin elastic layer. The Fourier transform and Green’s function techniques are applied to analyse the velocity profile of Love-type wave propagation. Error analysis between phase velocity with and without damping has been shown. It is found that the dispersiveness is caused by the non-homogeneity of the semi-infinite medium.
Classification : 74-10, 74B10, 74H05, 74H45, 74J15
Format : Online Talk on Zoom
Author(s) :
- Dipendu Pramanik (Department of Mathematics, Indian Institute of Technology Indore)
- Santanu Manna (Department of Mathematics, Indian Institute of Technology Indore)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @F312
Type : Contributed Talk
Abstract : The study analyzes the characteristics of the bending edge wave on a semi-infinite Kirchhoff plate having a stationary crack on the plate and supported by an elastic foundation. The non-local elasticity theory is used to investigate the effect of non-local stress on the propagation of edge waves on the crack plate. Due to the presence of the crack, the stress intensity factor related to the edge wave propagation will be discussed via numerical analysis.
Classification : 74-10, 74J15, 74K20, Surface waves in elastic plate
Format : Online Talk on Zoom
Author(s) :
- Rahul Som (Department of Mathematics, Indian Institute of Technology Indore, India )
- Santanu Manna (Assistant Professor, Indian Institute of Technology Indore)

Session Time & Room : 5D (Aug.25, 15:30-17:10) @F312
Type : Contributed Talk
Abstract : The present paper is devoted to a study of stress distribution in rotating disc of different materials with variable Poisson ratio. Seth’s transition theory is applied to the problems of elastic-plastic stresses in a rotating disc.Yield criteria and the associated flow rule are not taken into consideration for this study that forms the bases for the development of many researchers investigation. The obtained results allied in the direction of rotating disc made of an incompressible materials required higher angular speed for initial yielding as compared to disc made of gold, nickel and cast iron. At the internal surface of the compressible materials however, the circumferential stresses are showing higher values as compared to incompressible materials i.e. gold, nickel and cast iron required maximum circumferential stresses as compared to rubber material (incompressible). Also rotating disc required maximum stresses for the fully plastic state as compared to the initial yielding state.
Classification : 74A10, 74B05, 74B10, 74B15, 74C05
Format : Online Talk on Zoom
Author(s) :
- Jatinder Kaur (Chandigarh University Mohali , Chandigarh )
- Sonia - (Chandigarh University Mohali , Chandigarh )
- Nikita Madaan (Chandigarh University)