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Abaqus analysis user's manual, volume 1, version 6.7

Incorporates a lot of examples and difficulties; maths cannot simply be learnt out of textbooks; you wish this type of e-book on the way to cross head to head with vintage and someday bizarre fabric as you will discover there; very invaluable to establish exercices and checks should you educate this type of issues too...

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Extra info for Abaqus analysis user's manual, volume 1, version 6.7

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6 ID: Printed on: CONVENTIONS Stress and strain measures The stress measure used in Abaqus is Cauchy or “true” stress, which corresponds to the force per current area. 3 of the Abaqus Theory Manual, for more details on stress measures. For geometrically nonlinear analysis, a large number of different strain measures exist. Unlike “true” stress, there is no clearly preferred “true” strain. For the same physical deformation different strain measures will report different values in large-strain analysis.

For example, two-dimensional solid (continuum) stress/displacement elements use only degrees of freedom 1 and 2. The degrees of freedom actually used at any node are the envelope of those needed in each element that shares the node. Internal variables in Abaqus/Standard In addition to the degrees of freedom listed above, Abaqus/Standard uses internal variables (such as Lagrange multipliers to impose constraints) for some elements. Normally you need not be concerned with these variables, but they may appear in error and warning messages and are checked for satisfaction of nonlinear constraints during iteration.

This compound rotation is achieved in three steps with applied rotation vectors , , and , where For this example , , and . Here represents the magnitude of each finite rotation about the (unit length) rotation axis. The rotation vectors above are applied in each of the three steps on the configuration at the beginning of that step. It is most straightforward to prescribe these rotations with velocity-type boundary conditions. For convenience, the default amplitude reference in Abaqus for a velocity-type boundary condition is a constant value of one.

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