The Finite Element Method for the Analysis of Non-Linear and ...

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Contact Conditions Usual term Contribution of contact forces Consider N bodies that are in contact at time t: t S c is the complete area of contact t f c i : Components of the contact tractions t f S i : components of the known externally applied traction. Then the virtual work for the N bodies at time t is give by: Institute of Structural Engineering Method of Finite Elements II 34
Contact Conditions Usual term Cont force We denote the two bodies as I and J. Each body is supported such that without contact no rigid motion is possible. Institute of Structural Engineering Method of Finite Elements II 35
Page 1 and 2: The Finite Element Method for the A
Page 3 and 4: Constitutive Relations It is necess
Page 5 and 6: Solution Flowchart General Solution
Page 7 and 8: Elastic Material For an elastic mat
Page 9 and 10: Elastic Material Important Note “
Page 11 and 12: Example Consider the four node elem
Page 13 and 14: Example Therefore, we ultimately ha
Page 15 and 16: Example Then, the Cauchy stress at
Page 17 and 18: Example The Jaumann stress is conne
Page 19 and 20: Hyperelastic Material Hyperelastic
Page 21 and 22: Inelasticity Elastoplasticity, Cree
Page 23 and 24: Elastoplasticity The strain and str
Page 25 and 26: Elastoplasticity Isotropic & Kinema
Page 27 and 28: Thermoelastoplasticity and Creep Th
Page 29 and 30: Relaxation A relaxation test is def
Page 31 and 32: Viscoplasticity The elastic respons
Page 33: NL FE Special Considerations - The
Page 37 and 38: Definitions used in Contact Analysi
Page 39 and 40: Contact Analysis-Interface Conditio
Page 41 and 42: Contact Analysis Complexities In th

The Finite Element Method for the Analysis of Non-Linear and ...

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