Article
Engineering, Mechanical
Seyed Mahmoud Hosseini, Chuanzeng Zhang
Summary: In this paper, a meshless collocation method based on the generalized finite difference (GFD) method is used to analyze the band structure of thermoelastic waves propagating in cylindrical phononic crystals. The study investigates the effects of material parameters and layer thickness on the band-gap properties of thermoelastic waves, with particular attention to the influence of the dimensionless speed of the thermal wave on the band-gaps.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Multidisciplinary Sciences
Zhiwei Ding, Ke Chen, Bai Song, Jungwoo Shin, Alexei A. Maznev, Keith A. Nelson, Gang Chen
Summary: In this study, the authors reported the direct observation of temperature wave (second sound) in graphite at a record-high temperature of over 200 K. They used experimental techniques and simulations to explain the role of thermal zero sound and the interplay among different groups of phonons.
NATURE COMMUNICATIONS
(2022)
Article
Engineering, Mechanical
Deison Preve, Andrea Bacigalupo, Marco Paggi
Summary: A multi-scale variational-asymptotic homogenization method is developed for periodic microstructured materials in presence of thermoelasticity with periodic spatially dependent one relaxation time. The method establishes equivalence between macro-scale and micro-scale equations, leading to efficient computation of the microscopic fields in terms of the macroscopic ones. Results show good agreement with heterogeneous continuum theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Multidisciplinary
Ramandeep Kaur, Santosh Kapuria
Summary: This paper presents an analytical solution for the thermoelastic wave propagation in transversely isotropic thin beams subjected to a thermal shock loading. The solution is based on the Lord-Shulman generalized thermoelasticity theory and considers a general through-thickness profile of the applied thermal loading and a general convective boundary condition. The solution is derived and validated using the Euler-Bernoulli beam theory and the extended Hamilton's principle. The effects of thermal boundary conditions and the relaxation time parameter on the beam's response are illustrated.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Computer Science, Information Systems
A. M. Farhan
Summary: This paper investigates the influence of rotating half-space on the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermo-elastic body. The study shows that rotation, frequency, and r have an impact on the propagation of Rayleigh waves, with the phase velocity of the waves changing with respect to rotation. Numerical solutions and computer simulations are used to analyze and present the results of Rayleigh wave velocity and attenuation coefficient.
CMC-COMPUTERS MATERIALS & CONTINUA
(2021)
Article
Mathematics, Applied
Lili Fan, Hongjun Gao, Haochen Li
Summary: In this paper, a modified Green-Naghdi system that takes into account the effect of the Coriolis force is derived. This system is a model in equatorial oceanography for describing the propagation of large amplitude surface waves. The effects of the Coriolis force and nonlinearity on local well-posedness and traveling wave solutions are investigated, and various conditions on the parameters depending on the rotation Omega are considered. The results include the classification of all traveling wave solutions, the possible phase portraits of bifurcations, and the exact traveling wave solutions.
JOURNAL OF NONLINEAR SCIENCE
(2022)
Article
Physics, Applied
Janghoon Kang, Michael R. Haberman
Summary: This article investigates the spatiotemporal modulation of the surface acoustic admittance of a metasurface diffuser to improve sound diffusion. By using mathematical and finite element models, it demonstrates that the effects of spatial periodicity can be mitigated without introducing aperiodic spacing, thus reducing diffuser thickness and improving the diffusivity of the backscattered field.
APPLIED PHYSICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Alexander Savin, Yuri S. Kivshar
Summary: The study of thermal transport in low-dimensional materials, especially graphene, has attracted significant attention recently. In this study, we numerically investigate the phonon transport in low-dimensional carbon structures, focusing on the hydrodynamic regime revealed by the observation of second sound. Our simulations show that accurate modeling of such graphene systems requires semiquantum molecular dynamics simulations to consider the quantum statistics of thermalized phonons. We find that second sound is attributed to the maximum group velocity of bending optical oscillations in carbon structures, and it disappears for temperatures above 200 K, being replaced by diffusive dynamics of thermal waves. Furthermore, our results suggest that second sound has a velocity of about 6 km/s in low-dimensional structures, with stronger hydrodynamic effects observed in carbon nanotubes compared to carbon nanoribbons.
Article
Mechanics
Liwei Xin, Yaser Kiani
Summary: This study analyzes the generalized coupled thermoelastic wave propagation and temporal evolution in a bi-layered system. The main layer is made of functionally graded materials (FGM), while the holder layer is viscoelastic. The constituent volume fractions in the FGM layer are calculated using a power law function. The study employs the Voigt rule of mixtures and the Kelvin-Voigt model for material properties and constitutive law, respectively. The Chebyshev collocation element (CCE) method is used for spatial-dependent equations and the Newmark numerical integration method is implemented for calculating the system response. The obtained results are verified with limited literature articles and parametric results are shown to evaluate the influence of FG and viscoelastic characteristics on the FGM layer response under a thermal shock.
COMPOSITE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Hamdy M. Youssef, A. A. El-Bary
Summary: This paper introduces a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories to study photothermal interaction. Damage and rotation have significant effects on all studied functions, especially when the bounding surface of the sphere is thermally loaded.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Mathematics
Noelia Bazarra, Jose R. Fernandez, Maria Rodriguez-Damian
Summary: In this paper, a numerical analysis is conducted for a swelling porous thermo-elastic problem with the introduction of the second-sound effect modeled by the simplest Maxwell-Cattaneo law. The problem involves a coupled system describing the displacements of the fluid and solid, temperature, and heat flux. The classical finite element method with linear elements for spatial approximation and the backward Euler scheme for time discretization are applied. The stability of discrete solutions is proven, and an a priori error analysis is provided. Numerical simulations demonstrate the accuracy of the approximations, the exponential decay of discrete energy, and the dependence on a coupling parameter.
Article
Mechanics
Vasily K. Kostikov, Masoud Hayatdavoodi, R. Cengiz Ertekin
Summary: A nonlinear theoretical model is proposed to describe the deformations, oscillations, and drift motions of multiple elastic ice sheets in shallow waters, which are caused by combined nonlinear waves and uniform current. The model combines the Green-Naghdi theory for fluid motion and the thin plate theory for ice sheet deformation. It considers nonlinear waves of solitary and cnoidal types without any restrictions on wave properties. The study shows that wavelength and spacing between the sheets are critical parameters determining the drift response of the sheets, and the ambient current affects the drift motion nonlinearly.
Article
Mechanics
Biswajit Singh, Smita Pal (Sarkar)
Summary: This article utilizes the Green-Naghdi theory of thermoelasticity with memory-dependent derivative to study the effects of a magnetic field and laser pulse on a generalized thermoelastic orthotropic elastic medium. Analytically solving the problem using Laplace and Fourier integral transform, the fundamental equations are expressed as a vector-matrix differential form and solved using the eigen function expansion method. The variation of stress distributions, displacement, and temperature due to different kernel functions, time delay, magnetic field, and laser pulse are graphically illustrated. The current model demonstrates significant capability with the presence of the magnetic field, laser pulse, and memory-dependent derivative.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Physics, Fluids & Plasmas
A. Manela, Y. Ben-Ami
Summary: This study investigates the impact of gas rarefaction on the propagation of vibroacoustic sound in a two-dimensional setup. Analytical solutions are obtained in the free-molecular and continuum limits, revealing distinct differences in sound propagation characteristics between the two limits. In the continuum-limit conditions, the acoustic signal propagates isotropically in a monopole-type pattern, while in the collisionless flow regime, the signal decays exponentially away from the source and follows a nearly dipole-type directivity field.
PHYSICAL REVIEW FLUIDS
(2021)
Article
Mechanics
Mauro Fabrizio, Franca Franchi, Roberta Nibbi
Summary: In this paper, a thermodynamically consistent theory for second gradient Green-Naghdi revisited type thermo-elasticity and viscoelasticity is developed by using a non-standard version of the virtual powers method. The effectiveness of variational arguments in approaching non-local continuum structures is emphasized. Special constitutive settings, including non-local Kelvin-Voigt type viscoelastic models and non-local/local revised Green-Naghdi rigid heat conduction theories, are recovered and compared with pre-existing models.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Engineering, Biomedical
B. Alheit, S. Bargmann, B. D. Reddy
Summary: This study investigates the behavior of structures containing sutures during predator attacks and finds that sutures can improve the protective performance of structures by reducing the strain energy density and increasing resilience to failure. The results of this research have significant practical implications for the biomimetic design of protective structures.
ACTA BIOMATERIALIA
(2022)
Article
Computer Science, Interdisciplinary Applications
E. Schaller, A. Javili, I Schmidt, A. Papastavrou, P. Steinmann
Summary: In this study, a nonlocal bone remodelling framework was proposed and implemented using a peridynamic formulation on the macroscale. The implementation was validated using a benchmark test and two load cases of the proximal femur.
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
(2022)
Article
Thermodynamics
Emely Schaller, Ali Javili, Paul Steinmann
Summary: We propose a thermodynamically consistent formulation for open system peridynamics, which includes a nonlocal mass source to enhance mass balance. The balances of momentum, energy, and entropy are reconsidered due to the influence of the additional mass source. The nonlocal continuum formulation distinguishes between local and nonlocal balance equations.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2022)
Article
Engineering, Multidisciplinary
Marie Laurien, Ali Javili, Paul Steinmann
Summary: This contribution presents a novel approach for treating material interfaces in nonlocal models. The method enforces a kinematic coupling of the two constituents within a nonlocal interface where the material subdomains overlap. The contact is purely geometrical and interaction forces act only between points of the same material. The computational implementation within a variationally consistent peridynamic formulation is described in detail. Various numerical examples demonstrate the utility of the technique for modeling bimaterial interfaces in both two-dimensional and three-dimensional problems, including large deformations.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
Ludwig Herrnboeck, Ajeet Kumar, Paul Steinmann
Summary: This work compares two different computational approaches for geometrically exact elastoplastic rods. The first approach uses a constitutive model based on stress resultants, while the second approach applies an FE2 approach that couples the macro-scale and micro-scale of the rod. A novel aspect of this work is the determination of a hardening tensor for use in the stress resultant approach. The mechanical response of both approaches is compared on material point level and for finitely and non-uniformly strained rods.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Mechanical
Philipp Kowol, Swantje Bargmann, Patrick Goerrn, Jana Wilmers
Summary: Stretchable electronics utilize soft polymers and microstructural designs to enhance the stretchability of electronic materials. The introduction of controlled cracks in the polymer substrate's surface can significantly increase macroscopic stretchability. The design of soft islands demonstrates outstanding strain relief capabilities and allows for the integration of rigid functional parts.
EXTREME MECHANICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Lin Zhan, Siyu Wang, Shaoxing Qu, Paul Steinmann, Rui Xiao
Summary: Many classic hyperelastic models cannot accurately predict the stress responses of soft materials in complex loading conditions. We propose a new micro-macro transition approach integrated into a full network framework, which successfully captures the stress responses in multi-axial deformation modes for soft materials. We further develop a two-parameter hyperelastic model that exhibits greatly improved predictive ability for complex loading types compared to other existing models.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Miguel Angel Moreno-Mateos, Mokarram Hossain, Paul Steinmann, Daniel Garcia-Gonzalez
Summary: Pre-existing flaws in highly stretchable elastomers can cause fractures under large deformations. This study shows that ultra-soft magnetorheological elastomers with remanent magnetization have 50% higher fracture toughness compared to non-pre-magnetized samples. The opening of cracks in pre-magnetized elastomers is delayed due to crack closure induced by the magnetic field. Numerical simulations also reveal that pre-magnetized elastomers have reduced stress concentration at the crack tip. This work reveals potential applications for functional actuators with improved fracture behavior and performance under cyclic loading.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Anna Titlbach, Areti Papastavrou, Andrew McBride, Paul Steinmann
Summary: In this study, a novel phenomenological approach based on a micromorphic formulation is proposed to consider the trabecular microstructure and non-local characteristics of bone in continuum bone remodelling. The influence of characteristic size and coupling between macro- and microscale deformation is analyzed through benchmark examples. The results demonstrate that the micromorphic formulation effectively captures the interaction between continuum points at the macroscale and their neighborhood, affecting the distribution of bone density at the macroscale.
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
(2023)
Article
Mechanics
Jens Lamsfuss, Swantje Bargmann
Summary: In this study, the impact of thermotherapy and cryotherapy on trigger points in fascicles was investigated using a microstructural model. The mechanisms of different thermal treatments for relieving muscle pain were examined, showing that heating reduces pain by decreasing compressive strains and compressive passive stresses in the trigger point, while cooling increases muscle tension. Long-term treatment also reduces pain in trigger points during both heating and cooling.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Lucie Spannraft, Paul Steinmann, Julia Mergheim
Summary: This article proposes a generalized mechanical interface model for nonlinear kinematics. The interface's response allows for jump in deformations, cohesive failure, and interfacial (in)elasticity. An anisotropic cohesive law is formulated to induce additional shear-like stresses within the interface. Damage variables are used to couple cohesive and membrane degradations, considering the interaction between different deformation modes. The model is thermodynamically consistent and fulfills the balance equations and material frame indifference. Numerical examples demonstrate the influence of damage coupling on the mechanical response of adhesive layers.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Lin Zhan, Siyu Wang, Shaoxing Qu, Paul Steinmann, Rui Xiao
Summary: In this work, a general approach based on continuum damage mechanics is proposed to model the Mullins effect in soft composites. One-dimensional and three-dimensional damage models are formulated, which successfully describe the stress response in loading-unloading cycles and the anisotropic response of predeformed materials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Engineering, Manufacturing
Julia Mergheim, Christoph Breuning, Christian Burkhardt, Daniel Hubner, Johannes Kopf, Ludwig Herrnbock, Zerong Yang, Carolin Korner, Matthias Markl, Paul Steinmann, Michael Stingl
Summary: This paper introduces a multiscale and multi-purpose simulation framework for investigating selective beam melting processes in metallic cellular structures. Process simulation methods are used to analyze the relationship between process strategies and resulting properties of the cellular materials. Numerical homogenization methods are applied to study the influence of grain structure and topology on the mechanical properties of the cellular materials. A two-scale optimization of components made of cellular material is performed to improve the buckling resistance of the structures. The results show that consistent simulations of additive manufacturing of cellular materials provide important insights into process-structure interactions and enable tailored additive manufacturing processes.
JOURNAL OF MANUFACTURING PROCESSES
(2023)
Article
Engineering, Multidisciplinary
Simon Wiesheier, Julia Mergheim, Paul Steinmann
Summary: This article introduces a new data-adaptive approach for modeling hyperelastic rubber-like materials at finite strains. This approach combines the advantages of phenomenological modeling with data-driven methods by directly including experimental data in calculations. Numerical examples demonstrate the ability of the approach to re-identify a certain number of parameters.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Software Engineering
Christoph Leuther, Jana Wilmers, Swantje Bargmann
Summary: Nowadays, the development of functional and high-performance materials relies on understanding the structure-property relationships gained from computational simulations. The microstructure of nacre, consisting of tiny aragonite platelets embedded in a biopolymer matrix, provides insights into nature's solutions to complex engineering problems and can be applied to the design of new materials. This article provides codes for generating periodic models of nacre with a wide variety of structure geometries.
Article
Mechanics
Zhiqiang Meng, Xu Gao, Hujie Yan, Mingchao Liu, Huijie Cao, Tie Mei, Chang Qing Chen
Summary: This paper presents a cage-shaped, self-folding mechanical metamaterial that exhibits multiple deformation modes and has tunable mechanical properties, providing multifunctional applications in various fields.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hasan Murat Oztemiz, Semsettin Temiz
Summary: Sandwich panel composites have various applications and their mechanical behavior and performance depend on material properties and geometry. The load-carrying capacity of S-core composite sandwich panels increases with the increase of the core wall thickness, but decreases with the increase of the core height.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yang Sun, Wei Zhang, Weipeng Hu, Mabao Liu
Summary: The study presents a novel computational framework to investigate the effect of graphene percolation network on the strength-ductility of graphene/metal composites. It utilizes the Cauchy's probabilistic model, the field fluctuation method, and the irreversible thermodynamics principle.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Elaheh Kazemi-Khasragh, Juan P. Fernandez Blazquez, David Garoz Gomez, Carlos Gonzalez, Maciej Haranczyk
Summary: This study explores group interaction modelling (GIM) and machine learning (ML) approaches for predicting thermal and mechanical properties of polymers. ML approach offers more reliable predictions compared to GIM, which is highly dependent on the accuracy of input parameters.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yafei Yin, Shaotong Dong, Dong Wu, Min Li, Yuhang Li
Summary: This paper investigates a bending-induced instability in sandwiched composite structures, and establishes a phase diagram to predict its characteristics. The results are of great significance in understanding the physical mechanisms of bending instability and providing design guidelines for practical applications.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Dhairya R. Vyas, Sharen J. Cummins, Gary W. Delaney, Murray Rudman, Devang V. Khakhar
Summary: In this study, multiple collisions of granules on a substrate are analyzed using Collisional Smooth Particle Hydrodynamics (CSPH) to understand the influence of impact-induced deformation on subsequent collision dynamics. It is found that the collision dynamics are dependent on the impact location and the deformation caused by preceding impacts. The accuracy of three theoretical models is also evaluated by comparing their predictions with CSPH results, and it is discovered that these models are only useful for predicting collisions at the same location repeatedly.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Sneha B. Cheryala, Chandra S. Yerramalli
Summary: The effect of hybridization on the growth of interface crack along the fiber is predicted. The study shows an enhancement in the compressive splitting strength with hybridization due to the lateral confinement effect on the interfacial crack.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Xiang-Nan Li, Xiao-Bao Zuo, Liang Li, Jing-Han Liu
Summary: A multiscale mechanical model is proposed to quantitatively describe the macro-mechanical behavior of fiber reinforced concrete (FRC) based on its multiscale material compositions. The model establishes the stiffness and strength equations for each scale of FRC and demonstrates the influence of steel fiber parameters on the mechanical properties of FRC.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Vicente Ramirez-Luis, Hilario Hernandez-Moreno, Orlando Susarrey-Huerta
Summary: In this paper, a Multicell Thin-walled Method is developed for studying the stress distributions in multimaterial beams. This method accurately obtains complex stress fields while reducing the solution time and computational cost. Validation with the finite element method confirms the accuracy of the proposed method.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yanfeng Zheng, Siyuan Li, Jingyao Zhang, Yaozhi Luo
Summary: This study proposes an enhanced simplified model based on finite particle method (FPM) to consider the link cross-sectional size and contact in Bennett linkages. The model introduces virtual beams and contact forces to accurately simulate the real-world behavior of Bennett linkages. The proposed method is effective for dynamic analysis of large-scale deployable Bennett linkages and shows great potential.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Viktoriya Pasternak, Heorhiy Sulym, Iaroslav M. Pasternak
Summary: This paper investigates anisotropic elastic, magnetoelectroelastic, and quasicrystal solids and presents their equations of time-harmonic motion and constitutive relations in a compact and unified form. A matrix approach is proposed to derive the 3D time-harmonic Green's functions for these materials. The effects of phason field dynamics on the phonon oscillations in quasicrystals are studied in detail. The paper provides a strict proof that the eigenvalues of the time-harmonic magnetoelectroelaticity problem are all positive. It also demonstrates the application of the obtained time-harmonic Green's functions in solving boundary value problems for these materials using the derived boundary integral equations.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Jan Tomec, Gordan Jelenic
Summary: This paper investigates the relationship between different formulations and contact-force models in beam-to-beam contact mechanics. It specifically addresses the recently developed mortar method and develops its variant based on the penalty method. The developed elements are tested using the same examples to provide an objective comparison in terms of robustness and computational cost.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Paulo Teixeira Goncalves, Albertino Arteiro, Nuno Rocha, Fermin Otero
Summary: This work presents a novel formulation of a 3D smeared crack model for unidirectional fiber-reinforced polymer composites based on a stress invariant approach for transverse yielding and failure initiation. The performance of the model is evaluated using monotonic and non-monotonic damage evolution, verified with single element tests and compared with experimental results.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hanbin Yin, Yinji Ma, Xue Feng
Summary: This paper investigates the peeling behavior of a viscoelastic film bonded to a rigid substrate and establishes a theoretical peeling model. The study reveals three typical relationships between the peeling force and peeling velocity, which depend on the viscous dissipation within the film and the rate-dependent adhesion at the interface. Additionally, factors such as film thickness, interfacial toughness, and interfacial strength are identified as influencing the steady-state peeling force.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Peter Noe Poulsen, John Forbes Olesen
Summary: Finite Element Limit Analysis (FELA) is increasingly used to calculate the ultimate bearing capacity of structures made of ductile materials. This study presents a consistent and general weak formulation based on virtual work for both the lower and upper bound problem, ensuring uniqueness of the optimal solution. A plane element with linear stress variation and quadratic displacement field is introduced, showing good results for load level, stress distribution, and collapse mechanism even for coarse meshes in verification and reinforced concrete examples.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
