In many cases Initial Stress and Strain and External Stress are interchangeable when prescribing stresses, but you can find some more options in the latter.
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This section is only present when Initial Stress and Strain is used in the Layered Shell interface. See the documentation for the Initial Stress and Strain node in the Layered Shell chapter.
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For a 3D Initial stress model, diagonal components S0x, S0y, and S0z and off-diagonal components S0xy, S0yz, and S0xz, for example.
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For a 3D Initial strain model, diagonal components ε0x, ε0y, and ε0z and off-diagonal components ε0xy, ε0yz, and ε0xz, for example.
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For an example of adding initial stresses, see Prestressed Micromirror: Application Library path MEMS_Module/Actuators/micromirror
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