Smooth frictional contact between beams in 3D

Solid Mechanics and its Applications

Volumn 3, Issue , 2007, Pages 157-176

  Litewka, Przemysław ^a  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

3D curve smoothing; Consistent linearisation; Frictional contact; Hermite polynomials

Indexed keywords

3D MODELING; COMPUTATIONAL METHODS; CONSTRAINED OPTIMIZATION; DEFORMATION; FRICTION; POLYNOMIALS; STIFFNESS MATRIX;

BEAM FINITE ELEMENTS; CURVE SMOOTHING; FRICTIONAL CONTACT; FRICTIONAL CONTACT MODEL; GEOMETRIC REPRESENTATION; HERMITE POLYNOMIALS; LINEARISATION; TANGENT STIFFNESS MATRIX;

CURVE FITTING;

EID: 84861157658     PISSN: 18753507     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-6405-0_10     Document Type: Conference Paper

References (13)

1. Crisfield MA (1990) A consistent co-rotational formulation for non-linear, threedimensional beam-elements. Comp Meth Appl Mech Eng, 81:131-150.
2. El-Abbasi N, Meguid SA, Czekanski A (2001) On the modelling of smooth contact surfaces using cubic splines. Int J Num Meth Eng, 50:953-967.
3. Farin G (1993) Curves and Surfaces for Computer Aided Geometric Design, 3rd edn. Academic Press/Harcourt Brace Jovanovich Publishers, Boston.
4. Krstulović-Opara L, Wriggers P, Korelc J (2002) A C1-continuous formulation for 3D finite deformation frictional contact. Comput Mech, 29:27-42.
5. Litewka P,Wriggers P (2002) Contact between 3D beams with rectangular cross sections. Int J Num Meth Eng, 53:2019-2041.
6. Litewka P, Wriggers P (2002) Frictional contact between 3D beams. Comput Mech, 28:26-39.
7. Litewka P (2006) Hermite polynomial smoothing in beam-to-beam frictional contact problem. Comput Mech, published online 30.11.2006, DOI 10.1007/s00466-006-0143-9.
8. Michałowski R, Mróz Z (1978) Associated and non-associated sliding rules in contact friction problems. Arch Mech, 30:259-276.
9. Puso MA, Laursen TA (2002) A 3D contact smoothing method using Gregory patches. Int J Num Meth Eng, 54:1161-1194.
10. Stadler M, Holzapfel GA, Korelc J (2003) Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Int J Num Meth Eng, 57:2177-2203.
11. Wriggers P, Krstulović-Opara L (1999) Development of 2D smooth polynomial frictional contact elements based on symbolic approach. In: W Wunderlich (Ed.), Proceedings of ECCM'99, München, Germany, 31 July-3 August, 1999.
12. Wriggers P, Zavarise G (1997) On contact between three-dimensional beams undergoing large deflections. Comm Num Meth Eng, 13:429-438.
13. Zavarise G, Wriggers P. (2000) Contact with friction between beams in 3-D space. Int J Num Meth Eng, 49:977-1006.