Article
Materials Science, Multidisciplinary
D. H. Li, P. X. Wu, A. S. Wan
Summary: A two-scale computational continua (C-2) model is proposed for the multiscale analysis of honeycomb sandwich plates. The proposed model is validated by comparing its results with those of other models.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
David R. Brandyberry, Xiang Zhang, Philippe H. Geubelle
Summary: This paper proposes a two-step optimization method for the design of multiscale heterogeneous materials with nonlinear macroscopic response driven by volumetric and interfacial damage at the microstructural level. The method includes a reduced-order design phase using Eigendeformation-based reduced-order Homogenization Method (EHM) and a high-fidelity optimization phase using Interface-Enriched Generalized Finite Element Method (IGFEM).
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Rhodel Bengtsson, Mahmoud Mousavi, Reza Afshar, E. Kristofer Gamstedt
Summary: In this study, a numerical multiscale model is used to investigate the effect of softwood's hierarchical structure on its macroscopic viscoelastic properties. The model is validated using creep behavior experiments on Norway spruce and Japanese cypress. The results demonstrate that by assuming that the variability is greater at the microstructural level, it is possible to predict the macroscopic creep behavior based solely on microstructural parameters, saving time and cost compared to characterizing creep in all material directions.
MECHANICS OF MATERIALS
(2023)
Article
Engineering, Multidisciplinary
Andrea Bacigalupo, Luigi Gambarotta
Summary: This paper focuses on dynamic homogenization of lattice-like materials with lumped mass at nodes to obtain energetically consistent models for accurate descriptions of the discrete system's acoustic behavior. By utilizing proper mapping and enhanced continualization, equivalent continuum models with non-local terms are derived, achieving energy-consistent differential equations for effective representation of the system's behavior.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Mechanics
Farui Shi, Nicholas Fantuzzi, Patrizia Trovalusci, Yong Li, Zuoan Wei
Summary: This study investigates the effect of dilatancy on composite materials with rigid particles connected by rough elastic interfaces. By using a homogenization procedure to derive constitutive parameters, it demonstrates the validity of the micropolar theory in modeling the behavior of materials with micro-structures.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
J. F. Ganghoffer, H. Reda
Summary: A methodology is proposed for constructing effective strain gradient media for heterogeneous materials, combining linear elasticity variational principle and extended Hill lemma. The method decomposes the microscopic displacement field of the heterogeneous continuum into a polynomial homogeneous part in the generalized kinematic measures of the strain gradient effective continuum and a periodic fluctuation, and computes strain gradient effective moduli for composite materials.
MECHANICS OF MATERIALS
(2021)
Article
Materials Science, Multidisciplinary
Yasutomo Uetsuji, Fumiya Sano, Shun Takeuchi
Summary: This paper proposes a multiscale optimum design for the transverse magnetoelectric (ME) constant, which cannot exhibit sufficient characteristics in conventional multi-layered structures or vertical aligned composite structures. The asymptotic homogenization theory is adopted for scale coupling and a computational optimization scheme is constructed using the three-dimensional finite element method. The computation successfully discovers a new optimized heterostructure with a transverse ME constant equivalent to 10 to 20 times that of conventional composites. The mechanism of periodic polarization inversion effect in the optimized heterostructures is elucidated, which efficiently enhances the local torsional deformation around the ferroelectric phase without waste and promotes the development of global ME effect without cancellation. The obtained optimal design is expected to be applied to 3D printing of ME composites and has a significant impact on accelerating the development of new materials for the next generation.
JOURNAL OF MATERIALS SCIENCE
(2023)
Article
Mathematics
Houari Mechkour
Summary: The study focuses on the homogenization of the elastic-electric coupling equation in a periodically perforated piezoelectric body with rapidly oscillating coefficients. A new approach based on two-scale convergence is presented, leading to a two-scale homogenized system and explicit formulae for homogenized coefficients. The method provides homogenized electroelastic coefficients consistent with those obtained from alternative approaches in the static limit.
Article
Computer Science, Interdisciplinary Applications
Xingchen Liu, Massimiliano Meneghin, Vadim Shapiro
Summary: The paper proposes an Application Programming Interface (API) for multiscale structure modeling that provides interoperability between different scales through query-based approach. The concept of neighborhood and intrinsic effective material properties enable interchangeability between fine-scale and coarse-scale structures. Multiscale queries ensure interoperability with downstream applications like visualization and manufacturing planning.
ADVANCES IN ENGINEERING SOFTWARE
(2021)
Article
Mechanics
Jean-Francois Ganghoffer, Abdallah Wazne, Hilal Reda
Summary: In the last two decades, there has been significant research activity on architected materials due to their unique effective properties. The challenge lies in up-scaling the mechanical response to achieve continuum behavior, which may differ from the micro-level properties. Continuum models beyond Cauchy's theory are needed for artificial materials called meta-materials, which exhibit static and dynamic attributes not found in natural materials. This article reviews the scientific issues and challenges of higher-order homogenization methods and proposes solutions for enriched models in both static and dynamic regimes.
MECHANICS RESEARCH COMMUNICATIONS
(2023)
Article
Materials Science, Multidisciplinary
H. Reda, S. E. Alavi, M. Nasimsobhan, J. F. Ganghoffer
Summary: The proposed method presents a general homogenization approach that can be applied to a wide range of architected materials and composites prone to micropolar effects. It tackles the construction of effective Cosserat substitution media for heterogeneous materials, providing size-independent higher-order effective moduli.
MECHANICS OF MATERIALS
(2021)
Article
Materials Science, Multidisciplinary
S. E. Alavi, J. F. Ganghoffer, H. Reda, M. Sadighi
Summary: This paper revisits higher-order homogenization schemes towards micromorphic media based on variational principles and an extension of Hill macrohomogeneity condition. By deriving complete homogeneous microscopic displacement field, it leads to a higher-grade micromorphic theory with relative stress and hyperstress tensors including second-order and third order polynomials. The numerical applications show that the higher-order moduli converge quickly with unit cell size.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Materials Science, Multidisciplinary
A. I. Gad, X. -L. Gao
Summary: Two versions of the extended Hill's lemma for non-Cauchy continua satisfying the couple stress theory are proposed, which can determine classical and higher-order effective elasticity tensors. Boundary conditions are identified and checked for admissibility and average field requirements, with equilibrium and compatibility examined for cases with kinetic and kinematic BCs. A homogenization analysis is conducted for a two-phase composite, and the results are compared with Voigt and Reuss bounds, as well as a finite element model constructed using COMSOL.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Materials Science, Multidisciplinary
D. H. Li, P. X. Wu, A. S. Wan
Summary: A layerwise multiscale analysis method based on Reddy's theory and O(1) homogenization method is proposed for composite laminated plates. This method considers the periodicity in both in-plane and thickness directions and utilizes discretization and finite element methods to establish macroscopic, mesoscopic, and microscopic models. The results demonstrate the accuracy of the proposed method.
MECHANICS OF MATERIALS
(2023)
Article
Computer Science, Interdisciplinary Applications
Naruethep Sukulthanasorn, Hiroya Hoshiba, Koji Nishiguchi, Mao Kurumatani, Robert Fleischhauer, Kuniharu Ushijima, Michael Kaliske, Kenjiro Terada, Junji Kato
Summary: This paper presents a two-scale topology optimization framework for determining the optimal microstructure in porous material under transient heat conduction and transfer. The proposed optimization model can consider the surface area directly from microstructure topology to enhance heat transfer performance.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Mathematics, Interdisciplinary Applications
Fredrik Ekre, Fredrik Larsson, Kenneth Runesson, Ralf Janicke
Summary: This paper further develops the previous work by proposing a combined basis constructed using both SD and POD modes with an adaptive mode selection strategy. The performance of the combined basis is compared to pure SD and pure POD bases through numerical examples, showing that the combined basis can yield a smaller error estimate.
COMPUTATIONAL MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Fredrik Ekre, Fredrik Larsson, Kenneth Runesson, Ralf Jaenicke
Summary: This paper adopts Numerical Model Reduction (NMR) to solve the nonlinear microscale problem in computational homogenization of porous media. It derives an explicit and computable a posteriori error estimator based on the linearized error equation and demonstrates its performance through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Marine
Jorrid Lund, Daniel Ferreira Gonzalez, Jan Clemens Neitzel-Petersen, Lars Radtke, Moustafa Abdel-Maksoud, Alexander Duester
Summary: A partitioned solution approach for fluid-structure interaction (FSI) simulations of turbo machine rotors is presented. The simulations were carried out using the in-house developed boundary element method solver panMARE for the fluid simulation and the commercial finite element method solver ANSYS for the structural simulation, with the implicit coupling procedure managed by the generic in-house multiphysics coupling library comana. The results showed good agreement between the simulations and experimental data for both example cases.
SHIPS AND OFFSHORE STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Marton Petoe, Wadhah Garhuom, Fabian Duvigneau, Sascha Eisentraeger, Alexander Duester, Daniel Juhre
Summary: This paper introduces an enhanced octree-decomposition-based integration scheme that reduces computational effort by simplifying the local integration mesh using data compression techniques, leading to fewer integration points. It has minimal negative effect on simulation accuracy and can be added modularly to existing codes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Andre Hildebrandt, Prateek Sharma, Alexander Duester, Stefan Diebels
Summary: This study investigates the characteristics of thin beam-like structures and cables made of plastic and fiber-reinforced materials, taking into account the coupling effects of tension, torsion, and bending. An anisotropic elasto-plastic material model is proposed and validated by comparing experimental and simulation results.
MATHEMATICS AND MECHANICS OF SOLIDS
(2022)
Article
Engineering, Marine
Saeed Rezaei, Amir Rahimi, Jamshid Parvizian, Shahriar Mansourzadeh, Alexander Duester
Summary: This paper proposes a dimensional optimization procedure for a laboratory scale point absorber wave energy converter (WEC) using the design of experiment (DoE) methodology. Response surface methodology (RSM) is utilized to estimate the objective function through a second order polynomial function. The sensitivity of the objective function with respect to each parameter is investigated, and hydrodynamic parameters of the WEC are calculated using ANSYS-AQWA.
Article
Mathematics, Interdisciplinary Applications
Balazs Toth, Alexander Duester
Summary: In this research, the radial basis function finite difference method (RBF-FD) is improved for solving one- and two-dimensional boundary value problems in linear elasticity by using an extended version of the RBF with a polynomial basis for generating differentiation weights. The RBF is restricted to polyharmonic splines (PHS) with additional polynomials. A new adaptive point-cloud refinement algorithm based on residuals is also presented.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Michele Torre, Simone Morganti, Francesco S. Pasqualini, Alexander Duester, Alessandro Reali
Summary: This paper proposes an immersed approach that combines the Galerkin-based finite cell method with the isogeometric collocation method to avoid excessive subdivision of complex geometries. The presented technology further develops the hybrid collocation concept, providing a systematic technique for selecting the method to be used. Several numerical tests demonstrate that the methodology guarantees the same convergence rates as the standard isogeometric collocation method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Chemical
Maike Orth, Sonja Rotter, Wasif Safdar, Suereyya Tasdemir, Swantje Pietsch-Braune, Stefan Heinrich, Alexander Duester
Summary: The main goal of designing crash absorber particles for filling the double-hull of ships is to achieve optimal mechanical performance with a low-density structure, while meeting additional requirements such as non-toxic and hydrophobic behavior. This study used a fluidized bed to coat Poraver((R)) glass particles with Candelilla wax and silicone to meet these specifications. Coating with wax resulted in a uniform coating, but the process was more challenging with silicone. Mechanical tests and structural investigations were conducted to evaluate the suitability of coated particles as a granular filling material and compare their performances with untreated Poraver((R)) particles. While no notable improvement in mechanical behavior was observed on the single-particle level, bulk tests showed promising results in terms of compressibility and abrasion resistance of coated particles compared to untreated ones.
Article
Engineering, Multidisciplinary
Yaron Schapira, Lars Radtke, Stefan Kollmannsberger, Alexander Duester
Summary: In this paper, we summarize some methods to accelerate staggered schemes in hybrid quasi-static phase field modeling. Among these methods, Anderson's method is found to be the most robust in terms of convergence rate and solution stability.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Vinh Tu, Fredrik Larsson, Kenneth Runesson, Ralf Jaenicke
Summary: In this study, a multi-scale modeling framework is developed to address the electro-chemically coupled ion transport in a Structural Battery Electrolyte (SBE). The governing equations are established by coupling Gauss law with mass conservation for each species. Through variationally consistent homogenization, a two-scale model is formulated where both macro-scale and sub-scale equations are derived from a single-scale problem. The transient effects in the investigated sub-scale RVE problem are found to be negligible, leading to the assumption of micro-stationarity. In the case of linear constitutive response, a numerically efficient solution scheme for the macro-scale problem is obtained based on a priori upscaling. Finally, the efficiency of the solution scheme is demonstrated by solving a 2D macro-scale problem using upscaled constitutive quantities from a 3D RVE.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Mathematics, Interdisciplinary Applications
Sonja Rotter, Maksym Dosta, Alexander Duester
Summary: In this paper, the authors propose a method to improve the crashworthiness of ships by filling the double hull with a granular material. The discrete element method coupled with a bonded particle method is used to numerically investigate the breakage behavior and energy dissipation of the particles. Simulations are conducted and compared with experiments, focusing on uniaxial compression tests. These simulations provide insights into the representation of porous particles and their fracture behavior using numerical methods.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Michail Komodromos, Mahan Gorji, Alexander Duester, Jurgen Grabe
Summary: This paper quantifies the internal irregular geometry of small cemented sand samples using X-ray computed tomography and then generates a twin meshed domain via image analysis and advanced meshing techniques. The mesoscale finite element simulations show the stress transmission chains between particles. Statistical analysis of the load carried by the granular skeleton indicates the influence of cementation degree and aggregate compaction on the uniformity of stress distribution.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Engineering, Multidisciplinary
Seyed Farhad Hosseini, Mahan Gorji, Wadhah Garhuom, Alexander Duester
Summary: In this paper, a new adaptive method is proposed for accurately integrating trimmed elements. The method uses special mapping formulations to determine the locations and weights of new integration points. By controlling the fitting error, the number of quadrature points for exact integration can be automatically adjusted based on the complexity of the trimming curve and the corresponding integrand. The proposed method is easily implemented and delivers accurate solutions for a wide variety of 2D/3D geometries with a lower number of integration points.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
(2023)
Article
Engineering, Marine
Saeed Rezaei, Amir Rahimi, Jamshid Parvizian, Shahriar Mansoorzadeh, Alexander Duester
Summary: This work proposes a new mechanism for wave energy converters (WECs) that uses two ball screws to convert linear motion into rotary motion for electricity generation. The mechanism ensures the generator shaft does not change direction of rotation at specific moments and prevents decoupling when the generator shaft exceeds the ball screw's speed. The study analyzes the effect of this mechanism on increasing the electrical output power of WECs at different wave frequencies.
