OOF: Finite Element Analysis of Microstructures

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Subsections


damisotropic

This is an isotropic element which can undergo ``damage'' when the principal stress exceeds a user-defined upper limit or retrocedes below a user-defined lower limit. The effect of damage is that all components of the stiffness matrix are multiplied by a user-defined knockdown value.

The damage does not take place until a mutation command is invoked, either explicitly with mutate (Section 3.1.4) or implicitly with the comp_equil (Section 3.1.3) command. An element can be re-mutated (i.e, re-multiplied by the knockdown factor) if the stress re-exceeds its bounds.

Elements which have mutated are drawn in black in the Mesh Drawer (Section 5.1), but are immediately redrawn with the new (unequilibrated) stresses or strains in the Stress Drawers and Strain Drawers. An additional equilibrate step is required to produce equilibrium after any elements incur damage due to a mutate command.

Parameters

thermoelastic coefficients
The thermoelastic coefficients young, poisson, and alpha are identical to those defined for the isotropic elements in Section 4.5.1.

max_stress
The upper limit of stress. Elements whose largest principal stress is greater than max_stress will mutate during a mutate command (Section 3.1.4). [stress]

min_stress
The lower limit of stress. Elements whose smallest principal stress is less than min_stress will mutate during a mutate command (Section 3.1.4). Negative stresses are compressive. [stress]

max_knockdown
The factor by which the entire element stiffness matrix is multiplied when its largest principal stress exceeds max_stress. [dimensionless]

min_knockdown
The factor by which the entire element stiffness matrix is multiplied when its smallest principal stress is less than min_stress. [dimensionless]

Figure 4.5: Symmetry relations for the Monoclinic and Triclinic classes. See Figure 4.2 for explanation of symbols.
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