• Advances in Computational Design
• /
• v.9 no.3
• /
• pp.167-186
• /
• 2024

Implementing isogeometric methodology in micromechanical analysis of composite materials has been recently investigated in some research studies. These research studies are based on multi-patch modeling which requires coupling constraints among the NURBS patches, and the domain decomposition effort in model preparation stage. This approach has been employed for small representative volume elements (RVE). However, small RVE neglects some characteristics of microstructure and larger one increases the number of required NURBS patches in multi-patch framework. As a step forward, this research presents a framework which simulates the RVE using a single NURBS patch. the presented framework has been used to include the effects of fiber distribution and porosities in simulated RVEs. In this regard, heterogeneity and 2D/3D voids within RVE are modeled only by inserting knots and modifying the control points. In addition to beneficial advantages of isogeometric methodology for RVE-based models, this framework simplifies isogeometric modeling of more complicated RVEs by eliminating the domain decomposition stage and avoiding coupling constraints between non-matching patches. The performance of the presented model has been verified by performing micromechanical damage analysis on several generated RVEs of unidirectional fiber-reinforced composites, in which matrix and fiber/matrix interfaces experience damage. The predicted damage evolutions under different loading conditions are in excellent agreement with prior experimental and numerical studies that demonstrate the veracity of the presented model.

• Journal of the Architectural Institute of Korea Structure & Construction
• /
• v.35 no.9
• /
• pp.171-182
• /
• 2019

Isogeometric concept is introduced to carry out free vibration analysis of plane structures. The geometry of structures is represented by using non-uniform rational B-spline surface (NURBS) and its basis function is consistently used in the formulation of plane stress element. In addition, multi-patch strategy is introduced to deal with the openings in building. The performance of the present isogeometric plane stress element is investigated by using five numerical examples. From numerical results, it is found to be that the isogeometric concept can successfully identify reliable natural frequencies and associated mode shapes of plane structures with/without openings in efficient way.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.31 no.2
• /
• pp.71-78
• /
• 2018

This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.