Linear vs. NonLinear Buckling Analyses

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Linear Analysis: Material behavior is linear. Material may be isotropic or orthotropic (i.e. same properties in all three directions which are X, Y and Z or different properties for all directions). Small or finite deflection is to be considered for linear analysis. The images below provide the difference between Linear and Non Linear Buckling Approach:

Linear vs Non-linear Buckling Analyses

Linear vs Non-Linear Buckling Analysis

Non Linear Analysis: There are three different types of non linearity which are:

  • Material Non Linearity
  • Large Deflection
  • Contact Non Linearity

Non linearity means any of the above mentioned (three) or combination of any two or three from the above list.

As far as Buckling Analyses are concerned, there are two types: Linear and Non Linear.

In case of linear buckling which is also known as “Eigen Value Buckling”, a fundamental frequency solution needs to be present to proceed for Buckling Analysis.

For a Non Linear Buckling analysis, a non-linear static analysis is required to proceed for. Non Linear Buckling analysis may be required in case of including features such as initial imperfections, plastic behavior, gaps and large-deflection response. Large Deflection controlled loading can be used to track post-buckled performance of your structure.

May be you like to read more about: Sources of Non-linearity

About Author : is a Sr. FEA consultant at Hi-Tech FEA, an India based FEA service provider. He has applied his FEA expertise across several highly complex and big scale projects, consequently managing to seamlessly deliver as per the client requirements.