Article
Mathematics, Applied
A. Aguirre, R. Codina, J. Baiges
Summary: This paper investigates the numerical locking problem of Reissner-Mindlin's and Timoshenko's theories when approximated using the standard Galerkin finite element method for thin structures. To address this issue, a Variational Multiscale stabilization method is proposed, including two different approaches: Algebraic Sub-Grid Scale formulation and Orthogonal Sub-Grid Scale formulation. The stability and convergence of both approaches are proved, with the Orthogonal Sub-Grid Scale approach performing better. The Orthogonal Sub-Grid Scale approach is shown to be stable and optimally convergent, regardless of the thickness of the solid, unlike the sensitive and suboptimal Algebraic Sub-Grid Scale approach.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Yan Shang, Ya-Dong Liu, Shi-Xuan Liu
Summary: This study introduces a new four-node quadrilateral displacement-based Trefftz-type plate element for bending analysis of orthotropic plates within the unsymmetric finite element method framework. It effectively enriches deflection by nodal rotation degrees of freedom and uses Trefftz functions to satisfy governing equations. The new plate element shows good performance, free of shear locking problem, and tolerant to mesh distortion.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Adam Sky, Michael Neunteufel, Jack S. Hale, Andreas Zilian
Summary: In this work, new finite element discretisations of the shear-deformable Reissner-Mindlin plate problem are developed based on the Hellinger-Reissner principle. Conforming Hu-Zhang elements are used to discretise the bending moments and the rotation field, resulting in highly accurate approximations and satisfaction of the Kirchhoff-Love constraint. The formulation is extended using Raviart-Thomas elements for the shear stress to preserve optimal convergence rates for small thicknesses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Interdisciplinary Applications
Ruqing Bai, Hakim Naceur, Jinglei Zhao, Jin Yi, Xueping Li, Shujin Yuan, Jun Luo, Liming Wang, Huayan Pu
Summary: Accurately predicting crack propagation in structures is still a key challenge in the finite element method. Recently, a powerful nonlocal method called Peridynamics (PD) has been proposed to address this issue. However, applying the classical PD theory to extremely thin plate structures results in shear-locking phenomenon. To overcome this, a more general mixed PD method is introduced in this study.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Mechanics
Viviane Setti Barroso, Anisio Andrade, Paulo Providencia, Noel Challamel
Summary: This article presents a geometrically nonlinear two-dimensional model for the undamped dynamical response of thin two-layer plates with partial shear interaction. The model is tailored for analyzing laminated glass plates commonly used in building structures. The model is used to study the flexural buckling and free vibration of two-layer plates under in-plane edge loads, and analytical solutions are obtained for different boundary conditions. A conforming rectangular finite element method is also proposed and shown to be effective for approximation.
COMPOSITE STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Son H. Nguyen, Nguyen N. Nam, Tien-Dat Hoang, Tan N. Nguyen, T. Nguyen-Thoi
Summary: This paper proposes a simple and efficient method called aARS-Poly for alpha assumed rotations and shear strains in polygonal plate elements. The method applies an alternative assumption of tangent rotations along element boundaries based on Timoshenko's beam theory, and scales up the quadratic term of the assumed field using a positive scaling factor. Through numerical experiments, a general-fixed value of 0.5 achieves optimal relative errors in the energy norm. The aARS-Poly element using this value passes all critical tests and ensures orientation independence, solution stability, and free shear-locking. The method can be implemented straightforwardly for arbitrary convex-shaped polygonal meshes. Numerical results demonstrate high reliability and optimal results in static and free vibration analyses.
COMPUTERS & STRUCTURES
(2023)
Article
Mathematics, Applied
Thomas Fuhrer, Norbert Heuer, Antti H. Niemi
Summary: We propose a discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. The method utilizes a variational formulation based on a Helmholtz decomposition, which provides approximations for the primitive variables and bending moments. The method achieves quasi-optimal convergence for any chosen boundary conditions and is locking-free for hard-clamped convex plates. Numerical experiments validate our findings.
SIAM JOURNAL ON NUMERICAL ANALYSIS
(2023)
Article
Construction & Building Technology
Minh-Ngoc Nguyen, Wonsik Jung, Soomi Shin, Joowon Kang, Dongkyu Lee
Summary: This paper presents a new scheme called Discrete Shear Gap element (DSG) for constructing locking-free finite elements in thick and thin plates. It utilizes multiphase material topology optimization for triangular elements and includes common methods such as quadrilateral element (Q4) and reduced integration method. It also addresses the transverse shear-locking problem in thin plates using the stabilized discrete shear gap technique.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Mechanics
A. Bakhtiyari, M. Baghani, M. A. Maleki-Bigdeli, S. Sohrabpour
Summary: This study aims to present a semi-analytical solution to describe the behavior of a sandwich plate made of temperature-sensitive SMPs with a corrugated structure, based on the Reissner-Mindlin plate theory together with the viscoelastic theory. Comparing the results in different geometries and supports shows the proposed semi-analytical solution's ability to predict the material's behavior with great accuracy. In addition, compared to the finite element solution, the analytical solution enjoys a much higher speed, making it suitable for optimization and design problems that require a huge number of simulations.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Mathematics, Interdisciplinary Applications
Tsung-Hui Huang
Summary: A variational multiscale stabilized locking-free meshfree formulation is introduced for modeling Reissner-Mindlin plate problems under arbitrary plate thickness, where the plate quantities are decoupled into coarse-scale and fine-scale components in the variational equations. The effectiveness of this method is demonstrated through solving numerical examples and comparing with classical methods, showing benefits for problems exhibiting localized phenomena. The approach uses reproducing kernel approximation, smoothed gradient, and divergence to ensure bending exactness in the Galerkin formulation.
COMPUTATIONAL MECHANICS
(2022)
Article
Engineering, Multidisciplinary
E. L. B. Cavalcante, E. Lucena Neto
Summary: A new finite element is developed for the yield design of Reissner-Mindlin plates based on the static theorem of limit analysis. The proposed procedure demonstrates excellent performance on numerical tests, showing that not strictly satisfying the equilibrium equations and mechanical boundary conditions is not a disadvantage, although the solution may develop boundary layers along certain types of edges.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Civil
Leilson J. Araujo, Joao E. Abdalla
Summary: The strain gradient notation finite element method (SGN-FEM) is used to investigate the free-vibration and buckling analyses of plate problems. SGN-FEM employs physically interpretable polynomials in developing finite elements, allowing for the identification and elimination of parasitic shear sources that cause shear locking. The study evaluates the efficiency of corrected models in providing accurate results for free-vibration and buckling, and examines the severity of parasitic shear effects on plate models.
STRUCTURAL ENGINEERING AND MECHANICS
(2023)
Article
Engineering, Civil
Hui Guo, Kai Zhang, Tian Ran Lin
Summary: In this study, the free and forced vibration response of a ribbed rectangular cantilever plate representing an aircraft wing section was investigated. A new analytical solution was developed for the vibration analysis, and it was found that the insertion of orthogonal ribs can effectively reduce the vibration of the plate.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mechanics
Jing-Heng Chen, I-Chein Chao, Tungyang Chen
Summary: The study of seismic metamaterials, inspired by ideas from optics and acoustics, has potential applications in earthquake engineering. By using simple structure systems, such as beams and plates with periodically attached resonators, the mechanism of flexural energy attenuation can be simulated. The research demonstrates that a periodic array of mechanical resonators can be designed to control the propagation of flexure waves in complex continuum systems.
JOURNAL OF MECHANICS
(2022)
Article
Mechanics
Ruqing Bai, Guan Liang, Hakim Naceur, Jinglei Zhao, Jin Yi, Jun Luo, Li Wang, Huayan Pu
Summary: This paper introduces the differences between Peridynamics (PD) and classical continuum mechanics and other nonlocal theories. It also presents the use of integral equations to handle discontinuities and singularities. The paper further discusses the application of reduced or selective integration method to alleviate the shear locking phenomenon in thin plate structures and accelerate computational time. Several numerical examples are provided to demonstrate the effectiveness of the proposed method in modeling plate structures.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Engineering, Marine
Ivo Senjanovic, Neven Hadzic, Nikola Vladimir
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART M-JOURNAL OF ENGINEERING FOR THE MARITIME ENVIRONMENT
(2017)
Article
Engineering, Civil
Ivo Senjanovic, Marko Tomic, Neven Hadzic, Nikola Vladimir
ENGINEERING STRUCTURES
(2017)
Article
Chemistry, Multidisciplinary
Neven Hadzic, Viktor Lozar, Filip Abdulaj
APPLIED SCIENCES-BASEL
(2020)
Article
Mathematics
Viktor Lozar, Neven Hadzic, Tihomir Opetuk, Vedran Slapnicar
Summary: The study examined four mathematical approaches for modeling the steady-state behavior of production lines and confirmed the accuracy and reliability of performance measures obtained using these methods. Regardless of theoretical backgrounds, all methods demonstrated relevant reliability.
Article
Engineering, Marine
Nikola Vladimir, Andro Bakica, Maja Percic, Ivana Jovanovic
Summary: This paper discusses the use of modular concept in the design of small passenger vessels for the Mediterranean. By assembling the ship from three virtual modules (hull, power system, and superstructure), different vessel characteristics can be achieved. This approach aims to provide a preliminary design solution for small-scale shipyards with limited research capabilities.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Marine
Maja Percic, Nikola Vladimir, Ailong Fan, Ivana Jovanovic
Summary: The shipping industry is driven towards more energy-efficient and environmentally friendly ships by energy requirements and environmental regulations. Current mathematical models for ship energy efficiency cannot consider alternative fuels as a powering option. This paper formulates an energy efficiency and emissions index for ships with alternative power systems, considering different environmental impacts and fuel pathways. The model extends the analysis boundaries from the ship power system to the complete fuel cycle, allowing for comparisons of ships or the entire shipping sector.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Review
Energy & Fuels
Tena Bujas, Marija Korican, Manuela Vukic, Vladimir Soldo, Nikola Vladimir, Ailong Fan
Summary: This paper examines the energy needs and environmental impact of the fish farming sector, and explores the potential of increasing the use of renewable energy sources to improve its environmental friendliness. By assessing the energy consumption and emissions of different phases, the study identifies key processes that can integrate alternative powering options for environmental improvement. Using the fish farming process in Croatia as a case study, a set of alternative powering options is proposed based on the existing energy supply and renewable energy potential.
Review
Green & Sustainable Science & Technology
Ailong Fan, Yongping Li, Hanyou Liu, Liu Yang, Zhiqi Tian, Yiran Li, Nikola Vladimir
Summary: With the continuous promotion of energy saving and emission reduction policies, the development of highly efficient and low emission green ships, such as hybrid or all-electric ships, is a priority for the industry. Energy management is a key technology for coordinating the efficient working of all energy sources on board ships and is a focus of research.
JOURNAL OF CLEANER PRODUCTION
(2023)
Article
Chemistry, Multidisciplinary
Neven Hadzic, Viktor Lozar, Tihomir Opetuk, Zoran Kunkera
Summary: This paper presents research on modeling approaches for assembly lines and introduces an efficient mathematical tool for evaluating the performance of assembly lines at low CPU cost. The finite state method is demonstrated to be reliable and CPU-efficient through theoretical cases and real-world applications.
APPLIED SCIENCES-BASEL
(2022)
Article
Chemistry, Multidisciplinary
Zoran Kunkera, Tihomir Opetuk, Neven Hadzic, Natasa Tosanovic
Summary: Three-dimensional modelling software tools enable the creation of Digital Twin, a digital replica of the product, which is one of the virtual reality trends in Industry 4.0. The development of Digital Twin can start concurrently with the product development to select optimal technical solutions and manage the product life cycle. Digital Twin plays a significant role in the transformation of the business system and enhancing competitiveness in the shipbuilding industry.
APPLIED SCIENCES-BASEL
(2022)
Article
Engineering, Marine
Marija Korican, Maja Percic, Nikola Vladimir, Neven Alujevic, Ailong Fan
Summary: This study analyzes the environmental footprint of a fishing trawler operating in the Adriatic Sea and evaluates the feasibility of using alternative fuels. The results show that LNG and B20 are the easiest solutions to reduce harmful emissions and save costs. However, electrification and hydrogen energy are not optimal choices at present.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Marine
Ivana Jovanovic, Maja Percic, Marija Korican, Nikola Vladimir, Ailong Fan
Summary: Autonomous and unmanned shipping is a trending research topic in the maritime sector. Despite higher investment costs, autonomous ships are expected to bring significant economic benefits, especially in terms of fuel and emission cost savings.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Review
Chemistry, Multidisciplinary
Tena Bujas, Nikola Vladimir, Marija Korican, Manuela Vukic, Ivan Catipovic, Ailong Fan
Summary: The aquaculture industry is growing rapidly due to the increase in population and demand for aquatic products. This research uses scientometric software to analyze technical problems in mariculture based on keyword analysis, citations, and journals. The study identifies research hotspots related to technical, biological, digital, and environmental aspects. The most cited articles are about environmental problems and solutions, biofouling, and cage design in marine aquaculture.
APPLIED SCIENCES-BASEL
(2023)
Article
Engineering, Marine
Tatjana Haramina, Neven Hadzic, Zdenka Keran
Summary: This study investigates the hygroscopicity, mechanical properties, and biofouling resistance of biocomposites made of epoxy resin with 28 m% bio-based carbon content reinforced with flax and hemp fibers. The results show that water uptake decreases the tensile and flexural properties, and the change in interlaminar shear strength and impact resistance depends on the type of fiber. The research is expected to encourage naval architects and classification societies to consider biocomposites as prospective hull materials that provide both structural integrity and environmental sustainability.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2023)
Article
Energy & Fuels
Lovro Frkovic, Boris Cosic, Tomislav Puksec, Nikola Vladimir
Summary: The sustainability of the battery-powered electric ferry (BEF) depends on the proportion of renewable energy sources (RESs) in the power system. Achieving the sustainability of BEF in isolated energy systems (IES) , such as islands with limited land, is challenging. The integration of a standalone onshore charging station (OCS) powered with a hybrid offshore RES is proposed as a solution. This study considered different scenarios to select the share of offshore RES that matches the BEF electricity demand and improves the economic and environmental indicators of the standalone OCS. The results showed that the standalone OCS with hybrid offshore RES provides a better match with BEF electricity demand compared to scenarios based on individual offshore RES.
