Chapter
Apr 2, 2020
Structures Congress 2020

Accelerated and Stabilized Meshfree Method for Impact-Blast Modeling

Publication: Structures Congress 2020

ABSTRACT

Meshfree methods such as the reproducing kernel particle method (RKPM) are well suited for modeling materials and solids undergoing fracture and damage processes, and nodal integration is a natural choice for modeling this class of problems. However, nodal integration suffers from spatial instability, and the excessive material deformation and damage process could also lead to kernel instability in RKPM. This paper reviews the recent advances in nodal integration for meshfree methods that are stable, accurate, and with optimal convergence. A variationally consistent integration (VCI) is introduced to allow correction of low order quadrature rules to achieve optimal convergence, and several stabilization techniques for nodal integration are employed. The application of the stabilized RKPM with nodal integration for shock modeling, fracture to damage multiscale mechanics, and materials modeling in extreme events, are demonstrated. These include the modeling of man-made disasters such as fragment-impact processes, penetration, shock, and blast events will be presented to demonstrate the effectiveness of the new developments.

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Structures Congress 2020
Pages: 92 - 104
Editor: James Gregory Soules, CB&I Storage Tank Solutions
ISBN (Online): 978-0-7844-8289-6

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Published online: Apr 2, 2020

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J. S. Chen, Ph.D., M.ASCE [email protected]
Dept. of Structural Engineering, UC San Diego, La Jolla, CA. E-mail: [email protected]
Jonghyuk Baek [email protected]
Dept. of Structural Engineering, UC San Diego, La Jolla, CA. E-mail: [email protected]
Tsung-Hui Huang [email protected]
Dept. of Structural Engineering, UC San Diego, La Jolla, CA. E-mail: [email protected]
Michael C. Hillman, Ph.D. [email protected]
Dept. of Civil and Environmental Engineering, Pennsylvania State Univ., PA. E-mail: [email protected]

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