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. de Souza Lourenço, Marcos Antonio; Martínez Padilla, Elie Luis: An octree structured finite volume based solver (2020)
  2. Hatič, Vanja; Mavrič, Boštjan; Šarler, Božidar: Simulation of macrosegregation in direct-chill casting -- a model based on meshless diffuse approximate method (2020)
  3. Havasi-Tóth, Balázs: Particle coalescing with angular momentum conservation in SPH simulations (2020)
  4. Jannesari, Zahra; Tatari, Mehdi: An adaptive strategy for solving convection dominated diffusion equation (2020)
  5. Milewski, Sławomir: A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method (2020)
  6. Pu, Nana; Ji, Le; Ma, Wentao: A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids (2020)
  7. Rohit, Gaurang R.; Prajapati, Jagdish M.; Patel, Vikram B.: Coupling of finite element and meshfree method for structure mechanics application: a review (2020)
  8. Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan: Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations (2020)
  9. Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas: Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method (2019)
  10. Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas: Fractional cable problem in the frame of meshless singular boundary method (2019)
  11. Bourantas, G. C.; Loukopoulos, V. C.; Joldes, G. R.; Wittek, A.; Miller, K.: An explicit meshless point collocation method for electrically driven magnetohydrodynamics (MHD) flow (2019)
  12. Duan, S. Y.; Zhang, Z. M.; Han, X.; Liu, G. R.: On stress concentration on edges of defect holes in plates and critical issues on filling-in Repairs (2019)
  13. 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)
  14. Fouaidi, Mustapha; Hamdaoui, Abdellah; Jamal, Mohammad; Braikat, Bouazza: A high order mesh-free method for buckling and post-buckling analysis of shells (2019)
  15. Guo, Hongwei; Zheng, Hong; Zhuang, Xiaoying: Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry (2019)
  16. Li, Y. H.; Niu, Rui Ping; Liu, G. R.: Highly accurate smoothed finite element methods based on simplified eight-noded hexahedron elements (2019)
  17. Li, Y.; Li, J.; Wen, P. H.: Finite and infinite block Petrov-Galerkin method for cracks in functionally graded materials (2019)
  18. Musavi, S. Hossein; Ashrafizaadeh, Mahmud: Development of a three dimensional meshless numerical method for the solution of the Boltzmann equation on complex geometries (2019)
  19. Oliveira, T.; Vélez, W.; Santana, E.; Araújo, T.; Mendonça, F.; Portela, A.: A local mesh free method for linear elasticity and fracture mechanics (2019)
  20. Shao, Yulong; Duan, Qinglin; Qiu, Shasha: Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture (2019)

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