Non-Linear Finite Element Analysis in Structural Mechanics by Wilhelm Rust

Author:Wilhelm Rust
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(6.87)

hence for the time point tn+1:

(6.88)

It is useful to handle ε m as a history variable:

(6.89)

In the next step when the value of replaces ε m (t n ).

The normal strain components form

(6.90)

solved for the third direction:

(6.91)

(6.92)

Thus at time point t n it can be calculated:

(6.93)

This also holds for the increment:

(6.94)

Then Δε m is the only unknown in (6.88) at time point tn+1 and can be solved for as:

(6.95)

With (6.89) and (6.91) the third normal strain ε 33 can be calculated and the algorithm can be continued in the usual way.

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