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Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI

Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI

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Equations of Archetype Multiresolution Theory<br />

Sets of Equations<br />

(1) Kinematics<br />

(2) Kinetics<br />

(3) Constitutive<br />

(4) Compatibility<br />

(5) Fracture<br />

(6) Uncertainty<br />

materials generic<br />

Multiscale:<br />

Lagrangian,<br />

Computational Theory<br />

materials specific<br />

To be derived for all “building<br />

blocks” as modules in<br />

multiscale framework<br />

Balance<br />

Laws<br />

Reference<br />

Configuration<br />

Constitutive<br />

Laws<br />

Compatibility<br />

Laws<br />

Final<br />

Configuration<br />

Deformation<br />

Crack tip

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