1. A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problemsqingguo liu, Božidar Šarler, 2017, original scientific article Abstract: We consider a boundary meshless numerical solution for two-dimensional linear static thermoelastic problems. The formulation of the problem is based on the approach of Marin and Karageorghis, where the Laplace equation for the temperature field is solved first, followed by a particular solution of the non-homogenous term in the Navier-Lamé system for the displacement, the solution of the homogenous equilibrium equations, and finally the application of the superposition principle. The solution of the problem is based on the method of fundamental solutions (MFS) with source points on the boundary. This is, by complying with the Dirichlet boundary conditions, achieved by the replacement of the concentrated point sources with distributed sources over the disk around the singularity, and for complying with the Neumann boundary conditions by assuming a balance of the heat fluxes and the forces. The derived non-singular MFS is assessed by a comparison with analytical solutions and the MFS for problems that can include different materials in thermal and mechanical contact. The method is easy to code, accurate, efficient and represents a pioneering attempt to solve thermoelastic problems with a MFS-type method without an artificial boundary. The procedure makes it possible to solve a broad spectra of thermomechanical problems.
Keywords: Keywords: Isotropic thermoelasticity Meshless method Non-singular method of fundamental solutions Collocation Efficient desingularisation
Published in RUNG: 23.12.2016; Views: 5323; Downloads: 0
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2. Non-Singular Method of Fundamental Solutions for Two-dimensional Thermoelasticityliu qingguo, Božidar Šarle, published scientific conference contribution abstract Abstract: A framework for simulation of thermomechanical processing of microstructures by the method of fundamental solutions, free of artificial boundary, is shown. The formulation of the method for two-dimensional thermal and mechanical models is presented. In particular, the formulation for thermo-elastic problems is discussed. In the thermal and mechanical models, the concentrated point sources are replaced by the distributed sources over the sphere around the singularity to regularize the singularities and the balance of forces is used to calculate some of the otherwise singular diagonal coefficients. This procedure enables also for solving problems with internal voids and inclusions. The novel boundary meshless method has been assessed by comparison with MFS and analytical solution. The method is easy to code, accurate, and efficient.
Keywords: thermomechanics, elasticity, plasticity, non-singular method of fundamental solutions, three-dimensions, microstructures
Published in RUNG: 28.06.2016; Views: 6012; Downloads: 0
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3. INNOVATIVE METHODS FOR IMAGING WITH THE USE OF X-RAY FREE ELECTRON LASER (XFEL) AND SYNCHROTRON SOURCES : SIMULATION OF GAS FOCUSED MICROJETSBožidar Šarler, Rizwan Zahoor, N. Talat, Marjan Maček, Grega Belšak, Boštjan Mavrič, 2016, project documentation (preliminary design, working design) Keywords: XFEL, simulation, microjet, gas, method of fundamental solutions
Published in RUNG: 20.06.2016; Views: 7440; Downloads: 0
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