DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS

Sugeng Waluyo

doi:10.14710/rotasi.16.3.10-16

DOI: https://doi.org/10.14710/rotasi.16.3.10-16

DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS

*Sugeng Waluyo - Department of Engineering, University of Jenderal Soedirman , Indonesia

How to cite (IEEE): S. Waluyo, "DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS," ROTASI, vol. 16, no. 3, pp. 10-16, Jul. 2014. https://doi.org/10.14710/rotasi.16.3.10-16

How to cite (APA): Waluyo, S. (2014). DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS. ROTASI, 16(3), 10-16. https://doi.org/10.14710/rotasi.16.3.10-16

How to cite (BCREC): Waluyo, S. (2014). DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS. ROTASI, 16 (3), 10-16 (doi:10.14710/rotasi.16.3.10-16)

How to cite (Chicago): Waluyo, Sugeng. "DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS." ROTASI 16, no. 3 (2014): 10-16. Accessed April 6, 2025. https://doi.org/10.14710/rotasi.16.3.10-16

How to cite (Vancouver): Waluyo S. DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS. ROTASI [Online]. 2014 Jul;16(3):10-16. https://doi.org/10.14710/rotasi.16.3.10-16.

How to cite (Harvard): Waluyo, S., 2014. DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS. ROTASI, [Online] Volume 16(3), pp. 10-16. https://doi.org/10.14710/rotasi.16.3.10-16 [Accessed 6 Apr. 2025].

How to cite (MLA8): Waluyo, Sugeng. "DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS." ROTASI, vol. 16, no. 3, 01 Jul. 2014, pp. 10-16 , https://doi.org/10.14710/rotasi.16.3.10-16. Accessed 6 Apr. 2025.

BibTex Citation Data :

@article{ROTASI7485,
    author = {Sugeng Waluyo},
    title = {DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS},
    journal = {ROTASI},
  volume = {16},
    number = {3},
    year = {2014},
    keywords = {large deformation, LD-FEM, material stiffness, numerical derivative, tetrahedral element.},
    abstract = {“LD-FEM” is an open source computer program working on the basis of finite element method (FEM) which is aimed to model and simulate large deformation in rubber materials. The kinematics of large deformation on the basis of the Total Lagrange framework is applied to linear 4-nodes tetrahedral element and then solved with Newton-Raphson iterative scheme. Furthermore, to obtain the material tangent stiffness directly from strain energy density functions, the Gill-Murray theory of numerical second derivative is used in LD-FEM. Finally, by using the Mooney-Rivlin strain energy function, the performance of LD-FEM is addressed for uniaxial tensile, shear and torsion loading tests. The results confirm the capability of LD-FEM to capture nonlinear behavior of the large deformation either with analytical or numerical approach on the material stiffness derivation with error less than 2%.},
   issn = {2406-9620},   pages = {10--16}  doi = {10.14710/rotasi.16.3.10-16},
    url = {https://ejournal.undip.ac.id/index.php/rotasi/article/view/7485}
}

Refworks Citation Data :

@article{{ROTASI}{7485}, author = {Waluyo, S.}, title = {DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS}, journal = {ROTASI}, volume = {16}, number = {3}, year = {2014}, doi = {10.14710/rotasi.16.3.10-16}, url = {https://ejournal.undip.ac.id/index.php/rotasi/article/view/7485} }

Citation Format:

Abstract

“LD-FEM” is an open source computer program working on the basis of finite element method (FEM) which is aimed to model and simulate large deformation in rubber materials. The kinematics of large deformation on the basis of the Total Lagrange framework is applied to linear 4-nodes tetrahedral element and then solved with Newton-Raphson iterative scheme. Furthermore, to obtain the material tangent stiffness directly from strain energy density functions, the Gill-Murray theory of numerical second derivative is used in LD-FEM. Finally, by using the Mooney-Rivlin strain energy function, the performance of LD-FEM is addressed for uniaxial tensile, shear and torsion loading tests. The results confirm the capability of LD-FEM to capture nonlinear behavior of the large deformation either with analytical or numerical approach on the material stiffness derivation with error less than 2%.

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Keywords: large deformation, LD-FEM, material stiffness, numerical derivative, tetrahedral element.

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Section: Articles research

Language : EN

In Vol 16, No 3 (2014): VOLUME 16, NOMOR 3, JULI 2014