Mfree2D: an adaptive stress analysis package based on mesh-free technology. MFree2D is designed for 2D stress and strain analysis in solid mechanics and structural mechanics subjected to static and/or dynamic loadings with heat transfer process. The software consists of three major processors : MFreePre, MFreeApp and MFreePost. MFreePre is a preprocessor to formulate the input required by MFreeApp; the latter performs computations and yields the results which are then fed to MFreePost for post processing. These three processors can work either in an integrated manner or independently. One salient feature of MFree2D is that it is designed to be user-friendly and thus, has fewer requirements for users than many of the existing numerical packages. The first version of MFree2D, is for 2-D elastostatics and was demonstrated during the Fourth Asia Pacific Conference on Computational Mechanics (APCOM 1999). The main features of MFree2D include : Problem domain is discretised using scattered nodes and the discretisation is fully automatic. Adaptive refinement techniques are implemented to ensure the results are of a desired accuracy.User-friendly graphical-user-interface (GUI).

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  1. Farahani, Behzad V.; Belinha, J.; Amaral, Rui; Tavares, Paulo J.; Moreira, Pedro M. P. G.: Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys (2019)
  2. Fouaidi, Mustapha; Hamdaoui, Abdellah; Jamal, Mohammad; Braikat, Bouazza: A high order mesh-free method for buckling and post-buckling analysis of shells (2019)
  3. Musavi, S. Hossein; Ashrafizaadeh, Mahmud: Development of a three dimensional meshless numerical method for the solution of the Boltzmann equation on complex geometries (2019)
  4. Oliveira, T.; Vélez, W.; Santana, E.; Araújo, T.; Mendonça, F.; Portela, A.: A local mesh free method for linear elasticity and fracture mechanics (2019)
  5. Alqezweeni, Mohie Mortadha; Gorbachenko, Vladimir Ivanovich; Zhukov, Maxim Valerievich; Jaafar, Mustafa Sadeq: Efficient solving of boundary value problems using radial basis function networks learned by trust region method (2018)
  6. Aslefallah, Mohammad; Shivanian, Elyas: An efficient meshless method based on RBFs for the time fractional diffusion-wave equation (2018)
  7. Debbabi, Imen; BelhadjSalah, Hédi: Analysis of thermo-elastic problems using the improved element-free Galerkin method (2018)
  8. Elisov, L. N.; Gorbachenko, V. I.; Zhukov, M. V.: Learning radial basis function networks with the trust region method for boundary problems (2018)
  9. Grabski, Jakub Krzysztof; Kołodziej, Jan Adam: Laminar fluid flow and heat transfer in an internally corrugated tube by means of the method of fundamental solutions and radial basis functions (2018)
  10. Kozulić, Vedrana; Gotovac, Blaž: Application of the solution structure method in numerically solving Poisson’s equation on the basis of atomic functions (2018)
  11. Matinfar, M.; Pourabd, M.: Modified moving least squares method for two-dimensional linear and nonlinear systems of integral equations (2018)
  12. Reséndiz-Flores, E. O.; Kuhnert, J.; Saucedo-Zendejo, F. R.: Application of a generalized finite difference method to mould filling process (2018)
  13. Sadek, S. H. M.; Belinha, Jorge; Parente, M. P. L.; Natal Jorge, R. M.; de Sá, J. M. A. César; Ferreira, A. J. M.: The analysis of composite laminated beams using a 2D interpolating meshless technique (2018)
  14. Sheikhi, Nasrin; Najafi, Mohammad; Enjilela, Vali: Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov-Galerkin method (2018)
  15. Thomas, Alice; Majumdar, Partha; Eldho, T. I.; Rastogi, A. K.: Simulation optimization model for aquifer parameter estimation using coupled meshfree point collocation method and cat swarm optimization (2018)
  16. Wen, P. H.; Yang, J. J.; Huang, T.; Zheng, J. L.; Deng, Y. J.: Infinite element in meshless approaches (2018)
  17. You, Xiangyu; Li, Wei; Chai, Yingbin: Dispersion analysis for acoustic problems using the point interpolation method (2018)
  18. Bahmyari, Ehsan; Khedmati, Mohammad Reza: Uncertainty quantification in bending analysis of moderately thick plates with elastically restrained edges using the Chaotic Radial Basis function (2017)
  19. Belaasilia, Youssef; Timesli, Abdelaziz; Braikat, Bouazza; Jamal, Mohammad: A numerical mesh-free model for elasto-plastic contact problems (2017)
  20. Boddula, Swathi; Eldho, T. I.: A moving least squares based meshless local Petrov-Galerkin method for the simulation of contaminant transport in porous media (2017)

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