Energy release control for numerical simulations of failure in quasi-brittle solids.

*(English)*Zbl 1047.74551Summary: A path-following constraint is developed which is based on the energy release during failure. This makes it applicable to the simulation of quasi-brittle materials when no previous knowledge is available on the failure behaviour of a body and, consequently, indirect displacement control methods like CMOD cannot be applied. The constraint is derived from the first principle of thermodynamics for a finite-element discretization of a solid with a continuum damage model. The performance of the constraint is demonstrated by means of a bending test on a single-edge-notched beam.

##### MSC:

74S30 | Other numerical methods in solid mechanics (MSC2010) |

##### Keywords:

path-following technique; arc-length control; quasi-brittle solids; energy release; finite-element method; nonlinear analysis
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\textit{M. A. Gutiérrez}, Commun. Numer. Methods Eng. 20, No. 1, 19--29 (2004; Zbl 1047.74551)

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