Details
| Original language | English |
|---|---|
| Pages (from-to) | 861-880 |
| Number of pages | 20 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 34 |
| Issue number | 1-3 |
| Publication status | Published - Sept 1982 |
Abstract
During impact of elastic bodies, contact stresses are transmitted in time-depending contact surfaces. In many impact contact problems, large displacements and rotations appear only in the contact surface and in a certain neighbourhood. Therefore, it is efficient to consider geometrical nonlinearities only in this region, and to describe the remainder of the body within the geometrical linear theory. This leads to substructure techniques where only properties of the nonlinear elements need be modified during the impact contact process. The principle of virtual work for nonlinear thin shells is expressed using the total Lagrangian formulation, and the geometrical nonlinearity of thin shells is described in the frame of moderate rotation theory. The contact conditions lead to inequalities for the normal stresses and displacements in the contact interfaces. Therefore, the numerical algorithm involves two superposed iterations: for the computation of contact forces and contact areas and for the geometrical nonlinearity. The iteration procedure has to be carried out in each time step. The spatial discretization using finite element techniques leads to a system of ordinary differential equations which is integrated over the time using the Newmark algorithm. Numerical results were obtained for the impact contact problem of spherical shells. For these examples, the impact forces and the contact pressure distribution are presented for several parameter combinations. Results are controlled by conservation laws in integral form, and compared with results from geometrical linear theory.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 34, No. 1-3, 09.1982, p. 861-880.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Calculation of impact-contact problems of thin elastic shells taking into account geometrical nonlinearities within the contact region
AU - Stein, E.
AU - Wriggers, Peter
PY - 1982/9
Y1 - 1982/9
N2 - During impact of elastic bodies, contact stresses are transmitted in time-depending contact surfaces. In many impact contact problems, large displacements and rotations appear only in the contact surface and in a certain neighbourhood. Therefore, it is efficient to consider geometrical nonlinearities only in this region, and to describe the remainder of the body within the geometrical linear theory. This leads to substructure techniques where only properties of the nonlinear elements need be modified during the impact contact process. The principle of virtual work for nonlinear thin shells is expressed using the total Lagrangian formulation, and the geometrical nonlinearity of thin shells is described in the frame of moderate rotation theory. The contact conditions lead to inequalities for the normal stresses and displacements in the contact interfaces. Therefore, the numerical algorithm involves two superposed iterations: for the computation of contact forces and contact areas and for the geometrical nonlinearity. The iteration procedure has to be carried out in each time step. The spatial discretization using finite element techniques leads to a system of ordinary differential equations which is integrated over the time using the Newmark algorithm. Numerical results were obtained for the impact contact problem of spherical shells. For these examples, the impact forces and the contact pressure distribution are presented for several parameter combinations. Results are controlled by conservation laws in integral form, and compared with results from geometrical linear theory.
AB - During impact of elastic bodies, contact stresses are transmitted in time-depending contact surfaces. In many impact contact problems, large displacements and rotations appear only in the contact surface and in a certain neighbourhood. Therefore, it is efficient to consider geometrical nonlinearities only in this region, and to describe the remainder of the body within the geometrical linear theory. This leads to substructure techniques where only properties of the nonlinear elements need be modified during the impact contact process. The principle of virtual work for nonlinear thin shells is expressed using the total Lagrangian formulation, and the geometrical nonlinearity of thin shells is described in the frame of moderate rotation theory. The contact conditions lead to inequalities for the normal stresses and displacements in the contact interfaces. Therefore, the numerical algorithm involves two superposed iterations: for the computation of contact forces and contact areas and for the geometrical nonlinearity. The iteration procedure has to be carried out in each time step. The spatial discretization using finite element techniques leads to a system of ordinary differential equations which is integrated over the time using the Newmark algorithm. Numerical results were obtained for the impact contact problem of spherical shells. For these examples, the impact forces and the contact pressure distribution are presented for several parameter combinations. Results are controlled by conservation laws in integral form, and compared with results from geometrical linear theory.
UR - http://www.scopus.com/inward/record.url?scp=0019609597&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(82)90092-5
DO - 10.1016/0045-7825(82)90092-5
M3 - Article
AN - SCOPUS:0019609597
VL - 34
SP - 861
EP - 880
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 1-3
ER -