Article
Computer Science, Interdisciplinary Applications
Pei-Liang Bian, Hai Qing
Summary: In this study, a new FEM framework was developed to simulate the mechanical responses of the Euler-Bernoulli beam with a two-phase local/nonlocal mixed model. The model showed efficient convergence, simplicity of expressions, and flexibility in handling various boundary conditions and external loads.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Mohamed-Ouejdi Belarbi, Mohammed-Sid-Ahmed Houari, Ahmed Amine Daikh, Aman Garg, Tarek Merzouki, H. D. Chalak, Hicham Hirane
Summary: An efficient nonlocal finite element model was developed to study the bending and buckling behavior of functionally graded nanobeams. The new theory provides accurate transverse shear stress distribution without the need for correction factors, showing high accuracy and convergence rate. Detailed numerical studies validated the performance and reliability of the proposed model.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics
Ammar Melaibari, Alaa A. Abdelrahman, Mostafa A. Hamed, Ahmed W. Abdalla, Mohamed A. Eltaher
Summary: This study presents a mathematical model for investigating the dynamic behavior of a sandwich perforated nanobeam with flexoelectricity effect. Parametric studies show that the flexoelectric and piezoelectric parameters increase the vibration frequency of the nanobeam, while the nonlocal parameter reduces it.
Article
Materials Science, Multidisciplinary
Yicong Zheng, Liangliang Chu, Guansuo Dui, Xiang Zhu
Summary: Direct flexoelectricity in dielectrics, as a coupling effect of electric field and elastic strain gradient, is size-dependent and effective in nanostructures. This paper utilizes the flexoelectric theory and mixed finite element method to study the mechanical properties of two-dimensional functionally graded flexoelectric nanobeam and discovers the phenomenon of the deflection platform. The influence of geometric parameters, length scale, and material distribution on the deflection platform is discussed by applying various loads to the nanobeam.
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Mahmood Fakher, Shahrokh Hosseini-Hashemi
Summary: Considering the size effects of nanostructures, employing the two-phase local/nonlocal elasticity has recently gained attention in nano-mechanics research. This study provides the exact solution for the vibrations of two-phase Timoshenko nanobeams and investigates the shear-locking problem in the case of two-phase finite-element method (FEM). It aims to create an efficient locking-free local/nonlocal FEM with a simple and efficient beam element.
ENGINEERING WITH COMPUTERS
(2022)
Article
Materials Science, Multidisciplinary
Ruyan Sun, Dabiao Liu, Zhi Yan
Summary: This work presents a finite element approach for analyzing flexoelectric beam energy harvesters with nonuniform cross-sections. A two-node finite element model with 10 degrees of freedom is proposed, using Hermite polynomials to satisfy the higher order continuity requirement. The proposed method is validated using analytical solutions for a flexoelectric actuator. Results show that energy harvesters with nonuniform cross-sections outperform rectangular ones.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Civil
Moustafa S. Taima, Tamer A. El-Sayed, Michael I. Friswell
Summary: This study presents a novel approach to investigate the thermal lateral vibration of cracked nanobeams using Reddy beam analysis-based solutions. The effects of various factors on the natural frequencies are explored, and the outcomes are compared with prior findings, showing a strong level of agreement.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Pei-Liang Bian, Hai Qing, Tiantang Yu
Summary: A new finite element method framework is developed in this paper to analyze the mechanical responses of nanobeams made of axially functionally-graded material (FGM) under different boundary conditions, with the introduction of size effects. A series of numerical examples demonstrate the flexibility of this framework in handling complex distribution patterns, boundary conditions, and loads.
COMPOSITE STRUCTURES
(2022)
Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Civil
M. Kohansal-Vajargah, R. Ansari
Summary: The paper presents a free vibration analysis of three-dimensional micropolar structures with different geometries and studies the effects of length scale parameter on the dimensionless natural frequencies of micropolar structures with various geometries.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Francesco Paolo Pinnola, Marzia Sara Vaccaro, Raffaele Barretta, Francesco Marotti de Sciarra
Summary: The bending behavior of systems of straight elastic beams at different scales is investigated using stress-driven nonlocal continuum mechanics, and an effective computational methodology is developed to accurately account for long-range interactions.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Construction & Building Technology
Mahsa Najafi, Isa Ahmadi
Summary: A nonlocal Layerwise theory is proposed for free vibration analysis of nanobeams resting on an elastic foundation, considering small-scale effects and predicting more accurate results. Effects of nonlocal parameter, Pasternak shear coefficient, Winkler spring coefficient, and boundary conditions on the vibration of nanobeams are studied. The theory can be applied to analyze the mechanical behavior of various nanostructures with different loading and boundary conditions.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Pengfei Yu, Weifeng Leng, Liming Peng, Yaohong Suo, Jinquan Guo
Summary: This study investigates the dynamic flexoelectric effect in functional gradient piezoelectric nanobeams, showing that it plays a significant role in the investigation of higher-order vibration modes. The gradient index affects the dimensionless frequency of each mode, and the effective stiffness is influenced by factors such as the gradient index, piezoelectricity, and flexoelectricity. The modified electric field equilibrium equation provides valuable insights for designing energy harvesting devices at the nanometer scale.
RESULTS IN PHYSICS
(2021)
Article
Computer Science, Software Engineering
Simon Duenser, Bernhard Thomaszewski, Roi Poranne, Stelian Coros
Summary: Many flexible structures have a small number of compliant modes, but predicting these modes is challenging. To address this, we propose Nonlinear Compliant Modes, an extension of linear eigenmodes for large-deformation analysis. Our method correctly predicts nonlinear effects that linear eigenanalysis fails to capture.
ACM TRANSACTIONS ON GRAPHICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Suchart Limkatanyu, Worathep Sae-Long, Hamid M. Sedighi, Jaroon Rungamornrat, Piti Sukontasukkul, Hexin Zhang, Prinya Chindaprasirt
Summary: In this work, a novel flexibility-based nonlocal frame element for nano-sized frame-like structures is proposed. The element equation is constructed within the framework of flexibility-based finite element formulation, and the material small-scale effect is consistently represented by the stress-driven nonlocal integral model. The proposed nonlocal frame element demonstrates accuracy and characteristics in different numerical examples, showing its applicability in eliminating paradoxical responses and investigating the material small-scale effect.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Sai Sidhardh, M. C. Ray
Article
Materials Science, Multidisciplinary
Sai Sidhardh, Manas C. Ray
MATHEMATICS AND MECHANICS OF SOLIDS
(2019)
Article
Engineering, Mechanical
Sai Sidhardh, M. C. Ray
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2019)
Article
Materials Science, Multidisciplinary
Sai Sidhardh, M. C. Ray
MATHEMATICS AND MECHANICS OF SOLIDS
(2019)
Article
Acoustics
Sai Sidhardh, M. C. Ray
Article
Mechanics
Ritesh Basutkar, Sai Sidhardh, M. C. Ray
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2019)
Article
Engineering, Mechanical
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2020)
Article
Mechanics
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2020)
Article
Mechanics
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Review
Physics, Multidisciplinary
Wei Ding, Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: DOFC is an emerging branch of fractional calculus with important applications for modeling complex systems, but a systematic review of its real-world applications is still lacking. This review provides a roadmap for understanding the early development and application of DOFC, focusing on its mathematical aspects and applications in fields such as viscoelasticity, transport processes, and control theory.
Article
Mechanics
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
Summary: This study presents a comprehensive framework for constitutive modeling of nonlocal thermoelasticity in solids using a fractional-order approach, showing that the fractional-order model allows for the rigorous application of localized thermodynamic balance principles. Additionally, the mechanical governing equations for fractional-order solids involve self-adjoint operators and have unique solutions.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Civil
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: This study introduces a novel fractional-order framework for the geometrically nonlinear bending and postbuckling analysis of nonlocal plates subject to combined thermal and mechanical loads. The positive-definite nature of the framework allows for energy-based analysis of the postbuckling response of nonlocal structures.
THIN-WALLED STRUCTURES
(2021)
Article
Mechanics
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: This study introduces a physically-consistent displacement-driven reformulation of nonlocal elasticity, ensuring that the (total) strain energy is a convex and positive-definite function without imposing constraints on the symmetry of the nonlocal kernel. The approach also satisfies the locality recovery condition and the laws of thermodynamics, showing consistency in numerical simulations.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Materials Science, Multidisciplinary
Sai Sidhardh, M. C. Ray
MATERIALS TODAY COMMUNICATIONS
(2018)
