Article
Chemistry, Multidisciplinary
Muhammad Atif Shahzad, Babak Safaei, Saeid Sahmani, Mohammed Salem Basingab, Abdul Zubar Hameed
Summary: By reducing the thickness value in nanostructures, the influence of surface residual stress on the three-dimensional nonlinear stability characteristics of perfect and imperfect cylindrical shells at the nanoscale under axial compression was investigated. A three-dimensional shell model combined with GurtinMurdoch theory and the silicon material was used as a case study. The results showed that surface stress effects can significantly increase the critical axial buckling load of both perfect and imperfect silicon nanoshells.
NANOTECHNOLOGY REVIEWS
(2023)
Article
Engineering, Aerospace
Zhaoyang Hu, Chao Zhou, Zhuofan Ni, Xinran Zheng, Zixuan Wang, Dian Xu, Bo Wang, Rui Li
Summary: Analytical solutions for elastoplastic buckling of plates are important for benchmark results and fast structural analyses. However, existing solutions are incomplete due to mathematical difficulties and material nonlinearity. This study extends a novel method to obtain new analytical solutions for non-Levy-type rectangular plates and investigates the differences between incremental theory and deformation theory in predicting buckling loads. The findings provide useful guidelines for analyses and designs.
Article
Materials Science, Multidisciplinary
Yafei Wang, Yangkun Du, Fan Xu
Summary: Soft biological tissues often undergo strain stiffening during stretching, which can significantly affect tissue growth and development. Understanding the role of strain stiffening in biological growth and remodeling is important for addressing chronic inflammatory airway diseases.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Chemistry, Multidisciplinary
Faraz Kiarasi, Masoud Babaei, Kamran Asemi, Rossana Dimitri, Francesco Tornabene
Summary: The study investigates the buckling behavior of functionally graded porous rectangular plates under various loading conditions using the FE-GDQ method and Biot's constitutive law. A parametric analysis is conducted to examine the sensitivity of porous structures to different input parameters, providing valuable conclusions for engineering structural design.
APPLIED SCIENCES-BASEL
(2021)
Article
Mechanics
Felipe Miranda da Silva, Mauricio Vicente Donadon
Summary: As structures become slender, their non-linear aspects become more apparent and require assessment. The authors proposed a theory to address these non-linear effects in a highly flexible beam, specifically in flutter suppression using piezoelectric control. The theory efficiently incorporated large displacements through a set of generalized variables, enabling linearization of certain mechanical features. By analytically solving a cantilever beam problem, the authors demonstrated the connection between this problem and the Weierstrass elliptic P-function, a relationship that has not been proven previously. The article also includes a comprehensive study of solution for different loading conditions in a reference slender beam and suggests further applications, particularly in finite element analysis.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Mechanics
Xiaoying Zhuang, Hongwei Guo, Naif Alajlan, Hehua Zhu, Timon Rabczuk
Summary: This paper introduces a Deep Autoencoder based Energy Method (DAEM) for the bending, vibration, and buckling analysis of Kirchhoff plates. The DAEM utilizes higher-order continuity, integrates a deep autoencoder and the minimum total potential principle, and serves as an unsupervised feature learning method. It efficiently identifies patterns, minimizes total potential energy, extracts fundamental frequencies and critical buckling loads, alleviates gradient problems, and improves computational efficiency and generality through transfer learning.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Mechanics
M. S. H. Al-Furjan, Mahmoud Fereidouni, Danial Sedghiyan, Mostafa Habibi, Dong Won Jung
Summary: The frequency characteristics of circular/annular plates reinforced with multi-scale hybrid laminates nanocomposite are studied using state-space formulation based on 3D-elasticity theory. The properties of the plates change layer-by-layer with carbon nanotubes uniformly dispersed in each layer. Initial lateral stress and stacking sequence have significant effects on the frequency behavior of the composite structure.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Jing Qiu, Qiuhong Zhao, Zhiyu Wang, Cheng Yu
Summary: This paper investigates the elastic shear buckling behavior of trapezoidally corrugated wall plates in vertically or horizontally Corrugated Steel Plate Shear Walls (CoSPSWs) with constraints from neighboring subpanels and boundary frame members. The study finds that the constraints from boundary frame members along the corrugated edges have a significant influence on the shear buckling behavior, while the constraints along the straight edges have a negligible influence. Various factors such as plate thickness, straight edge length, corrugated edge length, inclined subpanel width, corrugation angle, and corrugation depth affect the global shear buckling stress of corrugated wall plates.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Civil
Immo Lukas, Ralph Timmers, Melanie Ropele, Robert Lang
Summary: This study investigates the application of non-continuous longitudinal stiffening in crane manufacturing. Experimental tests were conducted on 50 scaled plates with non-continuous longitudinal stiffening, subjected to uniform compression, to characterize their structural behavior. The study concludes that the gap significantly affects the ultimate resistance, usually resulting in a triangular-shaped buckling mode.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Hossein Darban, Raimondo Luciano, Andrea Caporale, Michal Basista
Summary: This paper formulates a novel buckling model for nanobeams resting on the Pasternak elastic foundation based on the local-nonlocal stress-driven gradient elasticity theory. The model accurately predicts the buckling loads and mode shapes of the nanobeams, and captures both stiffening and softening behaviors at small scales.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Ruoyu Huang, Raymond W. Ogden, Raimondo Penta
Summary: The growth in nature entails the development of residual stresses, which are typically heterogeneous and anisotropic across scales. This study introduces a stress-mediated growth model based on the unloaded configuration, considering residual stress or deformation gradient as growth variables. The application of this theoretical framework directly relates to practical experimental scenarios, such as using the opening angle in arteries as a measure of residual stress.
JOURNAL OF ELASTICITY
(2021)
Article
Mechanics
Alessia Patton, Pablo Antolin, John-Eric Dufour, Josef Kiendl, Alessandro Reali
Summary: This paper introduces a fast and accurate stress recovery strategy for modeling the out-of-plane behavior of Kirchhoff laminated plates. The method is a two-step approach that utilizes classical composite plates theory followed by isogeometric analysis to recover out-of-plane stresses, with the effectiveness proven through extensive numerical tests.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
Tom Gustafsson, Rolf Stenberg, Juha Videman
Summary: This paper introduces Nitsche's method for numerical approximation of the Kirchhoff-Love plate equation with general Robin-type boundary conditions. The method is analyzed by providing a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are presented to validate the approach and demonstrate its properties.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Engineering, Multidisciplinary
L. S. Campos, P. C. M. Doval, E. L. Albuquerque, P. Sollero
Summary: The present study uses the direct integration boundary element method (DIBEM) to analyze the buckling behavior of thin plates. This method eliminates the need for domain discretization or specialized solutions. The proposed approach is compared with analytical responses and finite element method results to demonstrate its efficacy in stability analysis.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Construction & Building Technology
Jun Peng, Shao-Bo Kang, Ling-Long Shi, Xiao-Fan Yu, Shu-Rong Zhou, Gang Xiong
Summary: This paper presents experimental and theoretical investigations on the behavior of short bamboo scrimber box columns under compression. The experimental results show that when the width-to-thickness ratio of plates is less than or equal to 10, the box columns exhibit compression failure, reaching the ultimate compressive strength of bamboo scrimber. However, when the ratio exceeds 11, local buckling of bamboo scrimber plates is observed instead of compression failure, and the ultimate compressive stress decreases with increasing width-to-thickness ratio. Theoretical analyses considering the nonlinear stress-strain relationship provide reasonably good estimations of the local buckling stress for columns with a width-to-thickness ratio greater than 10.
CASE STUDIES IN CONSTRUCTION MATERIALS
(2023)
Article
Engineering, Multidisciplinary
L. S. Kimpton, B. J. Walker, C. L. Hall, B. Bintu, D. Crosby, H. M. Byrne, A. Goriely
Summary: The growth process of the eye is influenced by visual stimuli, genetic factors, and environmental factors. Understanding the coupling between optical signal, growth, remodeling, and elastic response in the eye is challenging, but necessary for evaluating different emmetropization hypotheses and growth feedback mechanisms. A minimal morphoelastic model of the eye provides insights into how local growth laws can impact the global size and shape of the eye for focused vision.
JOURNAL OF ELASTICITY
(2021)
Article
Multidisciplinary Sciences
Christian Goodbrake, Alain Goriely, Arash Yavari
Summary: This study derives a sufficient condition for the existence of global intermediate configurations by starting from a multiplicative decomposition of the deformation gradient, showing that these global configurations are unique up to isometry. For radially symmetric deformations, isometric embeddings of intermediate configurations are constructed and residual stress fields are computed explicitly.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Yibin Fu, Lishuai Jin, Alain Goriely
Summary: This study investigates the instability behaviors in fluids and solids under the combined action of surface tension and axial stretching for different material models. For neo-Hookean materials, solid exhibits a localized instability, while fluid shows a supercritical linear instability.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Multidisciplinary Sciences
L. Angela Mihai, Haoran Wang, Johann Guilleminot, Alain Goriely
Summary: Experiments on nematic elastomers have shown an anisotropic response that is not predicted by ideal models, requiring an additional term in their description. By analyzing different deformations theoretically and computationally, it was found that the elastic response of liquid crystal elastomers can be better explained by including nematic order effects within the continuum framework. Comparing elastic moduli obtained from molecular dynamics simulations with theoretical results supports this conclusion.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Review
Biophysics
Hadrien Oliveri, Alain Goriely
Summary: The establishment of a functioning neuronal network involves the migration, growth, and morphogenesis of neurites, which rely on multiple biophysical effects and sensory cues. Mathematical models are useful for testing hypotheses and understanding the underlying mechanisms of neuron development. This review focuses on different mathematical models for neurite growth and morphogenesis, emphasizing mechanics and mechanisms and simple analytical treatment.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2022)
Article
Engineering, Multidisciplinary
Alain Goriely, Derek E. Moulton, L. Angela Mihai
Summary: We propose a general constitutive model for nematic liquid crystalline rods. This model reduces the three-dimensional strain-energy density to a one-dimensional energy, allowing us to describe the shape and instabilities of the rods under external stimuli and mechanical loads.
JOURNAL OF ELASTICITY
(2023)
Article
Biochemistry & Molecular Biology
Siu-Shing Wong, Zachary M. Wilmott, Saroj Saurya, Ines Alvarez-Rodrigo, Felix Y. Zhou, Kwai-Yin Chau, Alain Goriely, Jordan W. Raff
Summary: Mitotic centrosomes are formed through the recruitment of pericentriolar material (PCM) around centrioles, and Polo/PLK1 protein kinase is essential for this process. The level of Polo in centrosomes fluctuates during centrosome assembly, and a local pulse of Polo activity generated by interaction with its centriole receptor Ana1 (CEP295 in humans) could explain the dynamics of PCM scaffold assembly. This suggests that centrioles initiate centrosome maturation by generating a pulse of Polo activity before mitotic entry.
Article
Materials Science, Multidisciplinary
Arash Yavari, Alain Goriely
Summary: This study extends previous work by investigating universal displacements in inhomogeneous anisotropic linear elasticity, assuming known anisotropy directions. It shows that universality constraints in inhomogeneous linear elasticity include those in homogeneous linear elasticity. Additionally, the larger the symmetry group, the more stringent the universality constraints are on the inhomogeneities of the elastic moduli. It concludes that inhomogeneous isotropic and inhomogeneous cubic linear elastic solids do not allow for universal displacements, and characterizes the universal inhomogeneities for the other six anisotropy classes.
MATHEMATICS AND MECHANICS OF SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Bartosz Kaczmarski, Derek E. Moulton, Ellen Kuhl, Alain Goriely
Summary: In filamentary structures, the activation of fibers through contraction or elongation generates internal stresses relieved by the filament's torsion and curvature. This process is fundamental in morphogenesis and other biological movements. A general theory has been developed to link the microscale activation of fibers to the macroscale generation of curvature and torsion.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Multidisciplinary Sciences
L. Angela Mihai, Devesh Mistry, Thomas Raistrick, Helen F. F. Gleeson, Alain Goriely
Summary: This study develops a mathematical model to describe the nonlinear mechanical response observed in recent experiments on nematic liquid crystal elastomers, where the material becomes thicker in one direction instead of thinning under large strains. The material is modeled using an Ogden-type strain-energy function, and its parameters are calibrated to available datasets, showing that the Ogden strain-energy functions are suitable for modeling nematic elastomers.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Engineering, Multidisciplinary
Bartosz Kaczmarski, Derek E. Moulton, Alain Goriely, Ellen Kuhl
Summary: The design of versatile soft actuators is a challenging task due to the trade-off between robotic adaptability and structural complexity. Researchers have used statistical and physical models to simulate the mechanical behavior of soft actuators and identify optimal designs. However, the automated optimization of soft robots requires balancing simplifying assumptions and expensive simulations. In this study, a generalized Bayesian optimization method is proposed to identify designs of fiber-based biomimetic soft-robotic arms that minimize actuation energy under arbitrary robotic control requirements.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Prama Putra, Hadrien Oliveri, Travis Thompson, Alain Goriely
Summary: Many dynamical processes on networks exhibit front-like propagation, and the problem of estimating the dynamics is important. In this study, we consider toxic protein propagation in neurodegenerative diseases and compare different methods for estimating the arrival time, including linear, Lambert, and nonlinear approaches. We use the Fisher-Kolmogorov-Petrovsky-Piskunov equation as a model and show that each method provides valuable insights and consistent time estimates.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2023)
Article
Multidisciplinary Sciences
Luca Bellino, Giuseppe Florio, Alain Goriely, Giuseppe Puglisi
Summary: Local mechanical interactions in biological systems can regulate the stability, reversibility, and cooperative/non-cooperative character of the debonding transition. This transition depends on a single parameter related to an internal length scale. Our theory can describe a wide range of melting transitions found in biological systems, such as protein secondary structures, microtubules and tau proteins, and DNA molecules. It provides quantitative predictions for known experimental effects in various biological and biomedical fields.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2023)
Article
Multidisciplinary Sciences
Christoffer G. Alexandersen, Willem de Haan, Christian Bick, Alain Goriely
Summary: Alzheimer's disease, characterized by the spreading of pathological amyloid-beta and tau proteins in the brain, is the leading cause of dementia. Recent studies have shown distinct effects of amyloid-beta and tau on neurons at the cellular level. At a larger scale, Alzheimer's patients experience early-stage neuronal hyperactivation followed by neurodegeneration and frequency slowing. Through modeling the spreading of both amyloid-beta and tau in a human connectome, this study investigates the impact of disease progression on neuronal dynamics. The results indicate that the model explains AD-related frequency slowing, early-stage hyperactivation, and late-stage hypoactivation by considering the effects of amyloid-beta and tau pathology. Moreover, the hyperactivation and frequency slowing are found to be mainly caused by local neurotoxicity induced by amyloid-beta and tau proteins rather than topological interactions between brain regions.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2023)
Article
Physics, Multidisciplinary
Hadrien Oliveri, Rijk de Rooij, Ellen Kuhl, Alain Goriely
Summary: Axonal growth is a crucial process in neural system development, relying on a delicate balance between external forces and cellular remodeling. In this study, a microscopic mixture model is developed to understand the macroscopic rheology of axonal shafts based on protein turnover and damage. The research provides insights into the elastic response of axons, the viscoelastic behavior under moderate traction velocities, and failure due to extensive damage under larger velocities.
PHYSICAL REVIEW RESEARCH
(2022)
