Article
Mechanics
T. Gortsas, D. G. Aggelis, D. Polyzos
Summary: Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories used to explain phenomena that classical elasticity cannot explain. This study aims to derive all the strain gradient elastic theories appearing in the literature via the nonlocal definitions of energy densities and Hamilton's principle.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Acoustics
Deshui Xu, Jun Lu, Kun Zhang, Pengzhou Li, Lei Sun
Summary: This manuscript presents an exact solution for the longitudinal vibrating characteristics of generally restrained nanorod structures with multiple internal elastic supports. By introducing artificial springs and setting restrained stiffness accordingly, the general boundary restraints are formulated. The study provides an effective method for predicting the longitudinal vibration characteristics of nanorods with complex boundary and coupling conditions.
JOURNAL OF VIBRATION AND CONTROL
(2023)
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
C. Chr Koutsoumaris, K. G. Eptaimeros
Summary: This study explores the analysis of static engineering problems of a nanobeam using nonlocal integral elasticity models. The results show that the integral models exhibit a flexible behavior compared to classic and nonlocal differential models, demonstrating good physical robustness and promising applications in the field of nanomaterials and beyond.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Thermodynamics
Quoc-Hoa Pham, Van Ke Tran, Trung Thanh Tran, Trung Nguyen-Thoi, Phu-Cuong Nguyen, Van Dong Pham
Summary: This article presents a finite element method based on a quasi-3D nonlocal theory to study the free vibration of functionally graded material nanoplates on an elastic foundation in a thermal environment. The study compares numerical results with previous research to verify accuracy and investigates the effects of various parameters on the free vibration of nanoplates.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
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, 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
Acoustics
Santanu Manna, Rahul Som
Summary: In this article, the characteristics of flexural edge waves on a piezoelectric structure are studied using an elastic foundation. The microscale effect on edge wave propagation is investigated using nonlocal elasticity theory. The analysis shows significant differences in dispersion curves for piezoelectric plates with different foundations and nonlocal parameters.
JOURNAL OF VIBRATION AND CONTROL
(2022)
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
Materials Science, Multidisciplinary
Phu-Cuong Nguyen, Quoc-Hoa Pham
Summary: The current study proposes a computational approach that combines nonlocal elasticity theory, refined plate theory, and isogeometric analysis for buckling and dynamic instability analysis of functionally graded graphene nanoplatelet reinforced composite nanoplates. The effects of distribution and weight fraction of graphene nanoplatelets on the instability characteristics are examined, and the results demonstrate that the FG-X model provides the best performance. The outcomes of this study can serve as important benchmark results for future research on engineering structures at the small-scale level with graphene nanoplatelet reinforcement.
MATERIALS TODAY COMMUNICATIONS
(2023)
Article
Mechanics
Yujie Zhang, Saeid Sahmani, Zhicheng Yang, Babak Safaei
Summary: This study investigates the nonlinear three-dimensional dynamical stability of smart microshells manufactured from functionally graded piezoelectric materials. By considering both nonlocal stress and couple stress tensors, the authors develop a unified three-dimensional small-scale-dependent shell model and propose an efficient numerical strategy to analyze the size-dependent dynamic stability paths. The results demonstrate the significant influence of changing the sign of external electric voltage and temperature change on the softening and stiffening characteristics of the microshells. Additionally, the combination of axial compression and positive electric voltage actuation leads to a shift in the bifurcation point and a reduction in linear and nonlinear frequencies.
Article
Mechanics
Giovanni Romano, Marina Diaco
Summary: Nonlocal elasticity models are addressed through a general formulation involving source and target fields in dual Hilbert spaces. The focus is on small movements and a geometrically linearized approximation is assumed feasible. The analysis discusses the linear, symmetric, and positive definite relationship between dual fields in the local elastic law, governed by a strictly convex, quadratic energy functional.
Article
Engineering, Multidisciplinary
Rade Vignjevic, Tom DeVuyst, James Campbell
Summary: The paper introduces a consistent nonlocal SPH method similar to Bazant's imbricate continuum, and compares and discusses different SPH forms including classical SPH, nonlocal, local, and mixed SPH. The partition of unity approach is used to define two mixed forms: local-nonlocal and local-classical SPH, for modeling physical processes characterized by local and nonlocal effects. The stabilizing effect of the local form on the classical SPH, which is inherently unstable due to tensile instability, is also illustrated in the paper.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Arman Shojaei, Alexander Hermann, Pablo Seleson, Stewart A. Silling, Timon Rabczuk, Christian J. Cyron
Summary: The paper focuses on applying peridynamics (PD) to the propagation of elastic waves in unbounded domains. It introduces absorbing boundary conditions (ABCs) that are derived from a semi-analytical solution of the PD governing equation. The proposed ABCs have Dirichlet-type implementation, are constructed in the time and space domains, and offer advantages in terms of simplicity and compatibility with the near-field solution.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Sai Sidhardh, Sansit Patnaik, Fabio Semperlotti
Summary: This study presents a theoretical and computational framework based on fractional calculus for analyzing the nonlocal static response of cylindrical shell panels, exploring both linear and geometrically nonlinear static responses. Using the fractional finite element method, the impact of long-range interactions in curved structures is efficiently and accurately considered.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2022)
Article
Biotechnology & Applied Microbiology
Xiaoling Wang, Stephan A. Koehler, James N. Wilking, Naveen N. Sinha, Matthew T. Cabeen, Siddarth Srinivasan, Agnese Seminara, Shmuel Rubinstein, Qingping Sun, Michael P. Brenner, David A. Weitz
APPLIED MICROBIOLOGY AND BIOTECHNOLOGY
(2016)
Article
Engineering, Mechanical
Hao Yin, Yongjun He, Ziad Moumni, Qingping Sun
INTERNATIONAL JOURNAL OF FATIGUE
(2016)
Article
Engineering, Mechanical
Pingping Zhu, Ping Feng, Qing-Ping Sun, Jiong Wang, Hui-Hui Dai
INTERNATIONAL JOURNAL OF PLASTICITY
(2016)
Article
Mechanics
L. Dong, R. H. Zhou, X. L. Wang, G. K. Hu, Q. P. Sun
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2016)
Article
Nanoscience & Nanotechnology
Qi Peng, Qingping Sun, Mingxiang Chen
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2016)
Article
Engineering, Mechanical
Lin Zheng, Yongjun He, Ziad Moumni
INTERNATIONAL JOURNAL OF PLASTICITY
(2017)
Article
Engineering, Mechanical
Shaobin Zhang, Xue Chen, Ziad Moumni, Yongjun He
INTERNATIONAL JOURNAL OF PLASTICITY
(2018)
Article
Engineering, Mechanical
Shaobin Zhang, Xue Chen, Ziad Moumni, Yongjun He
INTERNATIONAL JOURNAL OF PLASTICITY
(2018)
Article
Mechanics
Shaobin Zhang, Yongjun He
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2018)
Article
Engineering, Mechanical
Xue Chen, Yongjun He
INTERNATIONAL JOURNAL OF PLASTICITY
(2020)
Article
Chemistry, Physical
Shaobin Zhang, Guoshun Qin, Yongjun He
JOURNAL OF ALLOYS AND COMPOUNDS
(2020)
Article
Chemistry, Physical
Guoshun Qin, Chengguan Zhang, Shaobin Zhang, Xue Chen, Yongjun He
Summary: A bar of single crystal Ni-Mn-Ga shape memory alloy undergoes martensitic phase transformation through nucleation and propagation of Austenite-Martensite (A-M) interfaces. Near the A-M interface, very fine martensite twin laminates are generated due to the compatibility between the two phases. Observations on the specimen's deformation and the twin laminates reveal that the fine laminates after cooling are unstable and spontaneously transform into a single martensite variant, triggered by heating-cooling cycles.
JOURNAL OF ALLOYS AND COMPOUNDS
(2023)
Article
Nanoscience & Nanotechnology
Chengguan Zhang, Guoshun Qin, Shaobin Zhang, Xue Chen, Yongjun He
Summary: Experiments on Ni-Mn-Ga single crystal shape memory alloy demonstrate significant differences in the twin laminate structure of the austenite-martensite interface between the forward and reverse phase transitions. After the cooling-induced austenite-martensite transition, the remaining twin laminate evolves into a single martensite variant.
SCRIPTA MATERIALIA
(2023)
Article
Nanoscience & Nanotechnology
Y. J. He
Summary: Recent experiments have shown that the macroscopic interface propagation of the martensitic phase transformation in Shape Memory Alloys (SMAs) involves unstable microstructure evolution in the macroscopic diffuse interfacial zone. This evolution includes the nucleation, branching, merging, and annihilation of numerous small domains, which releases the stored energy of the diffuse interface. Using a one-dimensional Cahn-Hilliard model, this paper reveals a quantitative relation between energy dissipation and interfacial properties, specifically the interface energy and interface thickness. The relation, which can be tested with existing experiments, also provides insights into the interfacial effect on the material's fatigue failure and offers a clue for finding low-hysteresis SMAs characterized by weak first-order phase transformation and low energy dissipation.
SCRIPTA MATERIALIA
(2023)
Article
Engineering, Mechanical
Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta, Andrea Bacigalupo
Summary: This article presents a multifield asymptotic homogenization scheme for analyzing Bloch wave propagation in non-standard thermoelastic periodic materials. The proposed method derives microscale field equations, solves recursive differential problems within the unit cell, establishes a down-scaling relation, and obtains average field equations. The effectiveness of this approach is validated by comparing dispersion curves with those from the Floquet-Bloch theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Yue Bao, Zhengcheng Yao, Yue Zhang, Xueman Hu, Xiandong Liu, Yingchun Shan, Tian He
Summary: This paper proposes a novel triple-gradient phononic acoustic black hole (ABH) beam that strategically manipulates multiple gradients to enhance its performance. The study reveals that the ABH effect is not solely brought about by the thickness gradient, but also extends to the power-law gradients in density and modulus. The synergistic development of three different gradient effects leads to more pronounced and broader bandgaps in PCs.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Matthias Ryser, Jason Steffen, Bekim Berisha, Markus Bambach
Summary: This study investigates the feasibility of replacing complex experiments with multiple simpler ones to determine the anisotropic yielding behavior of sheet metal. The results show that parameter identifiability and accuracy can be achieved by combining multiple specimen geometries and orientations, enhancing the understanding of the yield behavior.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Wenjun Li, Pengfei Zhang, Siyong Yang, Shenling Cai, Kai Feng
Summary: This study presents a novel two-dimensional non-contact platform based on Near-field Acoustic Levitation (NFAL), which can realize both one-dimensional and two-dimensional transportation. Numerical and experimental results prove the feasibility and ease of this method.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Shuo Liu, Lu Che, Guodong Fang, Jun Liang
Summary: This study presents a novel lamina conjugated bond-based peridynamic (BB-PD) model that overcomes the limitations of material properties and is applicable to composite laminates with different stacking sequences. The accuracy and applicability of the model are validated through simulations of elastic deformation and progressive damage behavior, providing an explanation of the damage modes and failure mechanisms of laminated composite materials subjected to uniaxial loading.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Omar El-Khatib, S. Kumar, Wesley J. Cantwell, Andreas Schiffer
Summary: Sandwich-structured honeycombs (SSHCs) are hierarchical structures with enhanced mass-specific properties. A model capable of predicting the elastic properties of hexagonal SSHCs is presented, showing superior in-plane elastic and shear moduli compared to traditional honeycombs, while the out-of-plane shear moduli are reduced.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Zhi-Jian Li, Hong-Liang Dai, Yuan Yao, Jing-Ling Liu
Summary: This paper proposes a process-performance prediction model for estimating the yield strength and ultimate tensile strength of metallic parts fabricated by powder bed fusion additive manufacturing. The effect of main process variables on the mechanical performance of printed metallic parts is analyzed and the results can serve as a guideline for improvement. The accuracy of the proposed model is validated by comparison with literature.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Saman A. Bapir, Kawa M. A. Manmi, Rostam K. Saeed, Abdolrahman Dadvand
Summary: This study numerically investigates the behavior of an ultrasonically driven gas bubble between two parallel rigid circular walls with a cylindrical micro-indentation in one wall. The primary objective is to determine the conditions that facilitate the removal of particulate contamination from the indentation using the bubble jet. The study found that the bubble jet can effectively remove contamination from the indentation for certain ranges of indentation diameter, but becomes less effective for larger indentation diameters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
E. Polyzos, E. Vereroudakis, S. Malefaki, D. Vlassopoulos, D. Van Hemelrijck, L. Pyl
Summary: This research investigates the elastic and damage characteristics of individual composite beads used in 3D printed composites. A new analytical probabilistic progressive damage model (PPDM) is introduced to capture the elastic and damage attributes of these beads. Experimental results show strong agreement with the model in terms of elastic behavior and ultimate strength and strain.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)