International Journal of Engineering Science最新文献

英文中文

Edge dislocation in an elastic sphere

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-20 DOI: 10.1016/j.ijengsci.2025.104226

Dmitry A. Petrov , Mikhail Yu. Gutkin , Anna L. Kolesnikova , Alexey E. Romanov

For the first time, an analytical solution is derived for the boundary-value problem in the theory of elasticity for a straight edge dislocation axially piercing an elastic sphere. The solution is given by the sum of the well-known stress fields of the dislocation placed in an infinite elastic medium and the image stress fields caused by the presence of the sphere free surface. To get the second term, a classical method of solving the boundary-value problems in elastic sphere is used. It is based on the Trefftz representation of the displacement vector and implies finding vector and scalar harmonic functions. Here these functions are found and expressed analytically in terms of infinite series with Legendre and associated Legendre polynomials. The results are visualized with stress-field maps in different cross sections of the sphere. It is shown that the free surface significantly changes the stress fields with respect to the infinite case and introduces the following new features: the anti-plane shear stress components, the change of the stress sign near the surface, new singularities at the points where the dislocation crosses the surface. The dislocation strain energy in the system is also provided and discussed in detail.

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引用次数: 0

A variationally-consistent phase-field cohesive zone model for mixed-mode fracture with directional energy decomposition scheme and modified-G criterion

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-20 DOI: 10.1016/j.ijengsci.2025.104223

Pei-Liang Bian , Hai Qing , Siegfried Schmauder , Tiantang Yu

Under complex stress-states, mixed-mode fracture is critical to the crack propagation. Additionally, in quasi-brittle materials, the toughness and strength can differ across fracture modes. Therefore, to analyze mixed-mode fracture behaviors under different stress conditions, we developed a new phase-field cohesive zone model (PF-CZM). A directional strain energy decomposition scheme with anisotropic constitution is applied to better describe the mechanical behaviors of damaged materials. A mixed-mode ratio is introduced to describe the relative contribution of mode I and mode II fracture to the crack propagation. Thus, the phase-field governing equation can be still derived by taking variation to the potential energy with respect to the phase-field. The crack orientation for propagation is assumed to be the direction that results in the maximum increase in crack area, which is demonstrated to be consistent with the modified G-criterion. The mode II crack orientation is determined using a deformation gradient-assistant approach. We also propose a new numerical frozen mechanism to take into account the interaction between the existing and incremental crack. Several numerical examples are provided to validate the current PF-CZM. The current study addresses when and how a crack will propagate in complex scenarios and significantly broadens the PFM’s applicability range for mixed-mode fracture, making it suitable for usage with a variety of materials.

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引用次数: 0

Field solution and uniformity condition in heterogeneous materials for linear multi-physical problems 线性多物理场问题的异质材料中的场解和均匀性条件

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-19 DOI: 10.1016/j.ijengsci.2025.104227

Wei Ye

For linear physical problems of equilibrium or steady-state phenomena in uncoupled and coupled cases, their fundamental equations are essentially similar so they can be treated on an equal footing. This work provides a unified formulation of the field solution in heterogeneous materials for linear multi-physical problems. Based on a modified Eshelby's equivalent inclusion model, the fields in the whole domain of the two-phase heterostructure are expressed by a non-uniform multi-physical Eshelby tensor for the inhomogeneity of a general shape. It is found that uniform fields could be created by applying eigenfields and boundary loads under a uniformity condition, which is also derived by an inverse approach. Furthermore, the uniformity condition for multi-phase heterogeneous materials is also found without restrictions on the constituent geometry and statistical homogeneity. This might be helpful for the design and fabrication of heterogeneous materials that could lead to some novel applications in certain scenarios.

引用次数: 0

Spring-membrane models to study Love-type surface wave in smart composite structure: A comparative analysis

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-14 DOI: 10.1016/j.ijengsci.2025.104225

Richa Kumari , Santan Kumar

This work delves into modelling and analysis of Love-type (LT) wave propagation in imperfectly bonded piezomagnetic stratum to a piezoelectric substrate under the influence of mass loading (ML) by developing three distinct models, viz. spring interface model (SIM), membrane interface model (MIM) and spring-membrane interface model (SMIM). Each of these models accounts to the presence of interfacial imperfection between stratum-substrate configuration. Variable separable approach is employed to establish dispersion relations corresponding to aforementioned models in view of associated magneto-electric boundary and continuity conditions. The established dispersion relations, when deduced as special case, concur well with the results existing in literature. With aid of numerical computation, effects of affecting parameters, viz. magneto-mechanical and electro-mechanical coupling parameters, spring interface parameters, membrane interface density parameter, mass loading sensitivity and wave number, on phase velocity of LT wave are traced out graphically. The computational results manifest prominent influence of interfacial imperfections on the attributes of propagating wave. A comparative analysis for dispersion curves with and without mass loading and for sensitivity due to mass loading pertaining to considered models is also demonstrated. The outgrowth of this study may be applied in the design of surface acoustic wave devices (SAWD) such as Love wave sensor.

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引用次数: 0

Addendum to: “Dynamics of incompressible fluids with incompatible distortion rates” [International Journal of Engineering Science 168C (2021)]

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-13 DOI: 10.1016/j.ijengsci.2024.104162

Roger Fosdick , Eliot Fried

Fosdick and Fried (2021) proposed a generalized Navier–Stokes theory for studying the dynamics of incompressible fluids which, under certain flow conditions, may support incompatible distortion rates. Herein, we complete the development of a comprehensive boundary condition, at a fixed wall, for the incompatibility tensor

G

of that theory; we clarify the physical conditions which express the presence of incompatibility at a wall and, thus, its transmission into the adjacent fluid. The final condition incorporates a constitutively prescribed threshold

τ_{c}

for the magnitude of the shear stress vector

s

at the wall. For

| s | < τ_{c}

G = O

. For

| s | \geq τ_{c}

G = γ (1 - t \otimes t) + G_{n t} n \otimes t

, where

γ

is a material constant,

t

and

n

are appropriately defined orthonormal tangent vectors to the wall and

G_{n t}

is a possibly non-zero component of

G

at the wall.

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引用次数: 0

A configuration-driven nonlocal model for functionally graded lattices

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-11 DOI: 10.1016/j.ijengsci.2025.104222

Shuo Li , Ke Duan , Yonglyu He , Li Li

Existing nonlocal models cannot accurately capture the size-dependent mechanical behavior of functionally graded lattices because they assume constant intrinsic length, which oversimplifies the nonlocal effects of varying lattice topology microstructures. In this paper, we unveil that the intrinsic length obeys a gradient law determined by the configuration of the functionally graded lattices. Based on the unveiled gradient law, a configuration-driven nonlocal model is developed to predict the size-dependent mechanical behavior of axially graded lattices. An offline dataset of the intrinsic length is constructed based on the gradient law and the high-throughput simulations. With the help of the offline dataset, the configuration-driven nonlocal model can be used to accurately and efficiently analyze the mechanical behaviors of the functionally graded lattices online. The configuration-driven nonlocal model improves the accuracy of the classic micromechanics homogenization method and reduces the computational cost of the high-resolution finite element method. The developed model not only guides the design of functionally graded lattices but also offers an effective multiscale approach for their performance prediction.

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引用次数: 0

Dynamics of a thin elastic coating

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-10 DOI: 10.1016/j.ijengsci.2025.104221

Nihal Ege , Barış Erbaş , Julius Kaplunov , Hazel Yücel

Forced vibrations of a thin elastic coating are considered. A long wave, multimode approximation is derived from the original 3D setup. It is governed by a 2D equation with the coefficients depending on trigonometric functions of the frequency parameter. The related explicit dispersion relations appear to be of general interest as well. Although the developed asymptotic formulation is oriented to the analysis of the effect of normal stresses slowly varying along the upper face of the coating, it is also useful for evaluating the majority of the resonance responses due to

δ

-type loading. Numerical comparisons between exact and asymptotic predictions are presented.

引用次数: 0

Asymptotically exact theory of functionally graded elastic beams

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-03 DOI: 10.1016/j.ijengsci.2025.104214

K.C. Le , T.M. Tran

We construct a one-dimensional first-order theory for functionally graded elastic beams using the variational-asymptotic method. This approach ensures an asymptotically exact one-dimensional equations, allowing for the precise determination of effective stiffnesses in extension, bending, and torsion via numerical solutions of the dual variational problems on the cross-section. Our theory distinguishes itself by offering a rigorous error estimation based on the Prager–Synge identity, which highlights the limits of accuracy and applicability of the derived one-dimensional model for beams with continuously varying elastic moduli across the cross section.

引用次数: 0

Wave propagation characteristics of quasi-3D graphene origami-enabled auxetic metamaterial plates 准三维石墨烯折纸辅助超材料板的波传播特性

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-01 DOI: 10.1016/j.ijengsci.2024.104185

Behrouz Karami, Mergen H. Ghayesh

This study presents an investigation into the elastic wave propagation of graphene origami (GO)-enabled auxetic metamaterial plates, using a quasi-three-dimensional (3D) model for the first time. It introduces an eight-parameter quasi-3D theory for the governing equations of motion of the metamaterial plates, including axial, transverse, rotational, and stretching motions through variational algebra. Material properties such as Poisson's ratio, mass density, and Young's modulus are changed along the z-axis and estimated using genetic programming-assisted micromechanics models from the literature. Initial numerical validation is performed by comparison with a simplified model. The study further explores the effects of GO content and its thickness-direction pattern, and GO folding degree on the wave frequency, phase velocity, and the group velocity. The findings indicate that, in general, the GO-enabled metamaterial plate exhibits a higher wave frequency compared to conventional metallic structures.

本研究首次使用准三维（3D）模型对石墨烯折纸（GO）辅助超材料板的弹性波传播进行了研究。它通过变分代数为超材料板的运动控制方程引入了八参数准三维理论，包括轴向、横向、旋转和拉伸运动。泊松比、质量密度和杨氏模量等材料属性沿 Z 轴变化，并使用文献中的遗传编程辅助微力学模型进行估算。通过与简化模型的比较，进行了初步的数值验证。研究进一步探讨了 GO 含量及其厚度方向模式以及 GO 折叠程度对波频、相速度和群速度的影响。研究结果表明，总体而言，与传统金属结构相比，GO 超材料板具有更高的波频。

引用次数: 0

Prediction of the effective properties of matrix composites via micromechanics-based machine learning

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science

Pub Date : 2025-02-01 DOI: 10.1016/j.ijengsci.2024.104184

E. Polyzos

This study aims to integrate micromechanics-based analytical models with machine learning (ML) models to predict the effective properties of two-phase composites. A novel approach grounded in Maxwell’s effective field method (EFM) is proposed to address the accuracy limitations inherent in micromechanics-based models while minimizing the amount of data needed to fit ML models. Notably, this new approach requires only two macroscale data points to predict the effective properties. The approach is introduced for inhomogeneities of arbitrary shape, orientation, and properties and is applicable to effective thermal, electrical, elastic, and other properties. Two case studies focusing on the elasticity problem are presented to illustrate the applicability and accuracy of the new approach; one involving a particulate composite of copper reinforced with diamond particles, and the other a unidirectional composite of 3D-printed nylon reinforced with Kevlar fibers. The results of these case studies are compared with finite element models and demonstrate an excellent agreement.

引用次数: 0

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