Details
| Original language | English |
|---|---|
| Pages (from-to) | 2929-2949 |
| Number of pages | 21 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 38 |
| Issue number | 17 |
| Publication status | Published - 15 Sept 1995 |
| Externally published | Yes |
Abstract
The detailed discretization of contact zones with contact stiffness based on real physical characteristics of contact surfaces can produce stiffness terms which induce ill‐conditioning of the global stiffness matrix. Moreover the consistent treatment of frictional behaviour generates non‐symmetric tangent stiffness matrices due to the non‐associativity of the slip phase. Other non‐symmetries are due to the coupling terms and to the dependencies on various parameters that can be involved. To overcome these difficulties almost consistent techniques based on two‐step algorithms have been proposed in the past. Here an augmentation technique is proposed which takes into account micro‐mechanical effects, and permits the symmetrization of the tangent stiffness during frictional slip phase.
Keywords
- augmentation, contact, friction, thermomechanical coupling
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 38, No. 17, 15.09.1995, p. 2929-2949.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On augmented Lagrangian algorithms for thermomechanical contact problems with friction
AU - Zavarise, G.
AU - Wriggers, Peter
AU - Schrefler, B. A.
PY - 1995/9/15
Y1 - 1995/9/15
N2 - The detailed discretization of contact zones with contact stiffness based on real physical characteristics of contact surfaces can produce stiffness terms which induce ill‐conditioning of the global stiffness matrix. Moreover the consistent treatment of frictional behaviour generates non‐symmetric tangent stiffness matrices due to the non‐associativity of the slip phase. Other non‐symmetries are due to the coupling terms and to the dependencies on various parameters that can be involved. To overcome these difficulties almost consistent techniques based on two‐step algorithms have been proposed in the past. Here an augmentation technique is proposed which takes into account micro‐mechanical effects, and permits the symmetrization of the tangent stiffness during frictional slip phase.
AB - The detailed discretization of contact zones with contact stiffness based on real physical characteristics of contact surfaces can produce stiffness terms which induce ill‐conditioning of the global stiffness matrix. Moreover the consistent treatment of frictional behaviour generates non‐symmetric tangent stiffness matrices due to the non‐associativity of the slip phase. Other non‐symmetries are due to the coupling terms and to the dependencies on various parameters that can be involved. To overcome these difficulties almost consistent techniques based on two‐step algorithms have been proposed in the past. Here an augmentation technique is proposed which takes into account micro‐mechanical effects, and permits the symmetrization of the tangent stiffness during frictional slip phase.
KW - augmentation
KW - contact
KW - friction
KW - thermomechanical coupling
UR - http://www.scopus.com/inward/record.url?scp=0029379465&partnerID=8YFLogxK
U2 - 10.1002/nme.1620381706
DO - 10.1002/nme.1620381706
M3 - Article
AN - SCOPUS:0029379465
VL - 38
SP - 2929
EP - 2949
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 17
ER -