Boundary element methods

BEMdyn-incompressible

We have proposed for the first time a boundary element approach to incremental deformations of nonlinear elastic materials, for static and dynamic regimes.

BEMplast

We have proposed a new boundary element technique without domain integrals for elastoplastic solids, thus terminating a long-standing debate on the possibility of avoiding domain integrals in elastoplasticity.

BEMHomogenization

A boundary-element based numerical technique has been proposed for the homogenization problem of a masonry structure. It has been used to analyze the mechanical behaviour of nacre (mother-of-pearl).

BEMdyn-incompressible readme_bemdyn.pdf BEMdyn-incompressible.exe ring_dyn.txt square72.txt geom_ring_dyn.txt geom_square72.txt spost_ring_dyn.txt spost_square72.txt

BEMplast readme_bemplast.pdf BEMplast_iteration.exe BEMplast_noiteration.exe geom25_8_NoRoller.txt node25_8_NoRoller.txt node_NoRoller_elasticity.txt spost25_8_NoRoller.txt

BEMHomogenization readme_bemhom.pdf BEMHomogenization.exe geom_compr.txt homog_compr.txt node_compr.txt node_tens.txt spost_compr.txt

BEM for Stokes flow

We have found new boundary integral representations for Stokes flow and the related symmetric Galerkin formulation (never previously addressed).


Related papers:

• K. Bertoldi, D. Bigoni and W.J. Drugan, Nacre: an orthotropic and bimodular elastic material.
  Composites Science and Technology, 2008, 68(6), 1363-1375.
• S. Colli, M. Gei and D. Bigoni, A boundary element formulation for incremental nonlinear elastic deformation of compressible solids.
  CMES-Computer Modeling in Engineering and Sciences, 2009, 40, 29-62.
• K. Bertoldi, D. Bigoni and W.J. Drugan,
  Nacre: an orthotropic and bimodular elastic material.
  Composites Science and Technology, 2008, 68(6), 1363-1375.

• D. Bigoni, D. Capuani, P. Bonetti, S. Colli, A novel boundary element approach to time-harmonic dynamics of incremental non-linear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding.
  Computer Methods in Applied Mechanics and Engineering, 2007, 196, 4222-4249.
• D. Capuani, D. Bigoni and M. Brun, Integral representations at the boundary for Stokes flow and related symmetric Galerkin formulation.
  Archives of Mechanics, 2005, 57 (5), 363-385.
• K. Bertoldi, M. Brun and D. Bigoni, A new boundary element technique without domain integrals for elastoplastic solids.
  International Journal for Numerical Methods in Engineering, 2005, 64, 877-906.
• M. Brun, D. Capuani and D. Bigoni, A boundary element technique for incremental, nonlinear elasticity. Part. I: Formulation.
  Computer Methods in Applied Mechanics and Engineering, 192 (22-24), 2003, 2461-2479.
• M. Brun, D. Bigoni and D. Capuani, A boundary element technique for incremental, nonlinear elasticity. Part. II: Bifurcation and shear bands.
  Computer Methods in Applied Mechanics and Engineering, 192 (22-24), 2003, 2481-2499.
• D. Bigoni and D. Capuani,
  Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation.
  Journal of the Mechanics and Physics of Solids, 2002, 50, 471-500.

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