On some path-related measures for nonlinear structural F. E. problems

✍ Scribed by Anders Eriksson

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 689 KB
• Volume: 26
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620260808

✦ Synopsis

In the paper, the solution of a non-linear structural mechanical problem is seen as a set of points along a curve in the displacement space, resulting from a continuous variation of a load parameter. The state of the structure at a specified point on the path is described by a tangent vector describing the response to a small load factor increment. For a completed, finite step, the deviation from this tangent response is described by a suggested measure. From this measure, some conclusions can be drawn concerning the iteration behaviour, guiding the iteration strategy in coming steps. Two path-related stiffness measures are derived, giving information concerning the behaviour of the structure. Some conclusions concerning limit load points, bifurcations, etc. can be drawn from these measures.