Peridynamics is a nonlocal reformulation of classical continuum mechanics, based on integral equations, suitable for material failure and damage simulation. In contrast to classical constitutive relations, peridynamic models do not require spatial differentiability assumptions of displacement fields, leading to a natural representation of material discontinuities such as cracks. Furthermore, peridynamic models possess length scales, making them suitable for multiscale modeling. This course will provide an overview of peridynamics, including its mathematical, computational, and modeling aspects. The course will also review advanced research topics and software in peridynamics, and it will include a hands-on tutorial on 3D simulation of solid mechanics problems.
OUTLINE
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9:00 – 9:45 |
Introduction to Peridynamics |
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9:45 – 10:00 |
Break |
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10:00 – 10:45 |
Peridynamic Material Models |
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10:45 – 11:00 |
Break |
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11:00 – 12:00 |
Computational Peridynamics |
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12:00 – 13:00 |
Lunch |
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13:00 – 13:30 |
Modeling Failure and Damage |
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13:30 – 14:00 |
Multiphysics Modeling in Peridynamics |
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14:00 – 14:30 |
Multiscale Modeling in Peridynamics |
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14:30 – 14:45 |
Break |
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14:45 – 15:30 |
2D Computations in Peridynamics with MATLAB: PDMATLAB2D |
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15:30 – 16:00 |
Practice Session |
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16:00 – 17:00 |
Hands-on Peridigm Tutorial |
