# computational contact mechanics

## Regarding implementation of an integration scheme which avoids the need of contact surface segmentation.

Dear All,

As FEA is one of the most popular methods for the treatment of contact problems. In that, the overall contact surface is discretized a number of segments and contact integrals are evaluated in a segment-wise manner. In 2005 Fischer and Wriggers [1] presented an integration method which avoids the need of contact surface segmentations and enables the evaluation of contact integrals directly at the slave nodes of contact bodies.

## Have someone met a strange behavior of Load-Displacement curve in a simple 2D indentation problem

I am modelling a very simple 2D contact problem between a rigid wedge indenter and a deformable squared-shape specimen (general steel material) in frictionless contact case. I used an implicit function f to describe the rigid indenter.

I implemented Lagrange multiplier method for this contact problem and the contact condition is: Inside the contact zone of the deformable specimen, the node set is active if f(node)<=0 and the Lagrange multiplier lambda<=0.

## Can someone explain the strange physical behavior in contact problem using Lagrange method in modeling a simple 2D indentation?

I am modelling a very simple 2D contact problem between a rigid indenter and a deformable squared-shape specimen. I used a implicit function f to describe the rigid indenter.
The contact condition is: Inside the contact zone of the deformable specimen, a node n is outside of rigid indenter for f(n)>0, and inside for f(n)<0. In case f(n)=0, the contacting node lies on the surface of the rigid body.