Virtual-power-based quasicontinuum methods for discrete dissipative materials

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Virtual-power-based Quasicontinuum Methods

for Discrete Dissipative Materials

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Dissipative discreteness at small scales

Foams Additive manufacturing

Textiles Paper/cardboard

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Elastoplastic spring lattice

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Quasicontinuum method (Tadmor et al, 1996)

-  Ideal for local events in large-scale lattice computations -  Underlying lattice fully resolved where needed

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Virtual-power-based QC framework

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Virtual-power-based QC framework

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Virtual-power-based QC framework

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Virtual-power-based QC framework

Accuracy and efficiency

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Virtual-power-based QC framework

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Results: bond failure and fiber sliding

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Conclusions

Virtual-power-based QC methodology

Summation: 1. exact rule

2. central rule

Dissipative effects included in QC via internal variables - for elastoplasticity at sampling spring level

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Not mentioned

QC method for beams

QC method for irregular networks

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Ongoing & future work

Applications: textiles, printed structures, foams (goal-oriented) Adaptivity

Figure

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Références

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