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Smart Structures and Systems Volume 13, Number 4, April 2014 , pages 659-683 DOI: https://doi.org/10.12989/sss.2014.13.4.659 |
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Nonhomogeneous atherosclerotic plaque analysis via enhanced 1D structural models |
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Alberto Varello and Erasmo Carrera
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| Abstract | ||
| The static analysis of structures with arbitrary cross-section geometry and material lamination via a refined one-dimensional (1D) approach is presented in this paper. Higher-order 1D models with a variable order of expansion for the displacement field are developed on the basis of Carrera Unified Formulation (CUF). Classical Euler-Bernoulli and Timoshenko beam theories are obtained as particular cases of the first-order model. Numerical results of displacement, strain and stress are provided by using the finite element method (FEM) along the longitudinal direction for different configurations in excellent agreement with three-dimensional (3D) finite element solutions. In particular, a layered thin-walled cylinder is considered as first assessment with a laminated conventional cross-section. An atherosclerotic plaque is introduced as a typical structure with arbitrary cross-section geometry and studied for both the homogeneous and nonhomogeneous material cases through the 1D variable kinematic models. The analyses highlight limitations of classical beam theories and the importance of higher-order terms in accurately detecting in-plane cross-section deformation without introducing additional numerical problems. Comparisons with 3D finite element solutions prove that 1D CUF provides remarkable three-dimensional accuracy in the analysis of even short and nonhomogeneous structures with arbitrary geometry through a significant reduction in computational cost. | ||
| Key Words | ||
| refined 1D finite elements; unified formulation; higher-order models; arbitrary cross-section; nonhomogeneous material | ||
| Address | ||
| Alberto Varello Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy Erasmo Carrera: Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||