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- 01JFTY4TTHSH6JGJ936V40ZR74 classification A1.
- 01JFTY4TTHSH6JGJ936V40ZR74 date "2025".
- 01JFTY4TTHSH6JGJ936V40ZR74 language "eng".
- 01JFTY4TTHSH6JGJ936V40ZR74 type journalArticle.
- 01JFTY4TTHSH6JGJ936V40ZR74 hasPart 01JFTY7G2KT2H66EY40Q0TS5C8.pdf.
- 01JFTY4TTHSH6JGJ936V40ZR74 hasPart 01JFTYW2XEYBEYCTCYVX38Y4HX.docx.
- 01JFTY4TTHSH6JGJ936V40ZR74 subject "Physics and Astronomy".
- 01JFTY4TTHSH6JGJ936V40ZR74 subject "Technology and Engineering".
- 01JFTY4TTHSH6JGJ936V40ZR74 doi "10.1016/j.jcp.2024.113678".
- 01JFTY4TTHSH6JGJ936V40ZR74 issn "0021-9991".
- 01JFTY4TTHSH6JGJ936V40ZR74 issn "1090-2716".
- 01JFTY4TTHSH6JGJ936V40ZR74 volume "523".
- 01JFTY4TTHSH6JGJ936V40ZR74 abstract "Finite Element Method (FEM) and other mesh-based methods require remeshing to address grid distortion issues when solving large deformation problems. In contrast, Galerkin-based meshfree methods do not require remeshing in large deformation analysis, while the integration grid still needs to be re-meshed after distortion. In this work, we introduce a meshfree nonlinear solution scheme built upon Stabilized Collocation Method (SCM) and Reproducing Kernel (RK) approximation for large deformation analysis. This method is genuinely meshfree, and no domain remeshing is required during the entire solution procedure. The total Lagrangian description is introduced for the formulations. SCM can achieve accurate subdomain integration by using loworder Gaussian quadrature, which can significantly improve the accuracy and stability of the solutions. Lowering the condition number of the discrete matrix through subdomain integration further enhances the algorithm's stability. The subdomains for integration are determined by the particle locations, and domain deformation is represented by the movement of particles, for which subdomains can remain regular without any deformation. Eliminating the need for remeshing can notably promote the solution efficiency. The Newton-Raphson iterative technique is conducted to address the nonlinear discrete equations. Several numerical examples of large deformation are examined, demonstrating the high accuracy, high efficiency and good stability of the proposed method for large deformation analysis. This method can handle high level of large deformation problems, even beyond the limit where FEM and High-order Finite Element Method (HFEM) cannot solve. All these indicate that SCM has immense potential in addressing large deformation problems.".
- 01JFTY4TTHSH6JGJ936V40ZR74 author 2223D1E4-F0EE-11E1-A9DE-61C894A0A6B4.
- 01JFTY4TTHSH6JGJ936V40ZR74 author 32abeff9-d820-11ee-bd27-e196d1e31fd0.
- 01JFTY4TTHSH6JGJ936V40ZR74 author 51e028a2-5801-11ee-a994-d8f3c2eae57a.
- 01JFTY4TTHSH6JGJ936V40ZR74 author urn:uuid:139a3591-8f6d-4042-8b49-d3d83de19c70.
- 01JFTY4TTHSH6JGJ936V40ZR74 dateCreated "2024-12-23T23:37:56Z".
- 01JFTY4TTHSH6JGJ936V40ZR74 dateModified "2025-01-30T10:03:24Z".
- 01JFTY4TTHSH6JGJ936V40ZR74 name "Meshfree method for large deformation analysis without domain re-mesh : a nonlinear scheme based on stabilized collocation method".
- 01JFTY4TTHSH6JGJ936V40ZR74 pagination urn:uuid:bc5bc160-cee6-4853-9731-5dcad7c74273.
- 01JFTY4TTHSH6JGJ936V40ZR74 sameAs LU-01JFTY4TTHSH6JGJ936V40ZR74.
- 01JFTY4TTHSH6JGJ936V40ZR74 sourceOrganization urn:uuid:ccdb9ab6-2d7d-454e-9a96-9477dec541b9.
- 01JFTY4TTHSH6JGJ936V40ZR74 type A1.