Isotropic Materials(各向同性材料)研究综述
Isotropic Materials 各向同性材料 - Thin-walled corrugated structures have been widely used in engineering applications for centuries, because corrugation enables engineers to tailor directional dependent properties despite the structures being made of isotropic materials. [1] For the description of yielding, an isotropic yield criterion which allows to differentiate between isotropic materials was used. [2] We introduce an FFT-based method to compute the effective crack energy of heterogeneous, locally anisotropic materials. [3] However, high f r are obtainable only along the easy axis direction of the magnetic anisotropic materials. [4] Consequently, the initial systems of governing equations for vibration analysis of sandwich structures made of isotropic materials are derived. [5] 17 at 808 nm), superior to most 2D anisotropic materials. [6] Once corrected stresses of homogenous layers satisfy von Mises criterion, Ramberg-Osgood curve is used to update elastic constants of isotropic materials. [7] By extending the conventional scattering canceling theory, we propose a new design method for thermal cloaks based on isotropic materials. [8] The isotropic and anisotropic materials with damping effects are also considered. [9] A detailed study of shear wave propagating and splitting at any incident angle, and its interaction with crack-like defects in anisotropic materials, is also presented. [10] In this work, the virtual crack closure-integral technique is implemented to a mixed finite element, in addition with the stiffness derivative procedure, to evaluate the energy release rate of crack extension in anisotropic materials. [11] The ductile fracture behavior of anisotropic materials was investigated and modeled by the uncoupled ductile fracture criterion for aluminum alloys 6016-AC200. [12] The stress state of hollow cylinders with oval cross-section made of orthotropic and isotropic materials is analyzed using spatial problem statement and analytical methods of separation of variables, approximation of functions by discrete Fourier series, and numerical discrete-orthogonalization method. [13] The main focus of this work is to predict the effective thermal conductivity of anisotropic materials based on the three-dimensional reconstruction of their fibrous structure, obtained from X-ray micro-tomography. [14] The stress field is also obtained from Hooke’s law for isotropic materials. [15] The proposed PIL method has the following advantages: (a) it can be applied to isotropic/anisotropic plate structures; (b) it doesn’t require any signal interpretation, making it attractive for active impact monitoring systems; (c) for anisotropic materials it doesn’t require the accurate knowledge of the wave velocity in all directions of propagation; (d) it doesn’t need a reference database; and (e) it remains effective even in the presence of noise. [16] A graphene layer, with isotropic surface conductivity of σ, has been sandwiched between two adjacent anisotropic materials. [17] They require only a low-to-moderate amount of training data and training time to learn without human guidance the constitutive behavior also of complex nonlinear and anisotropic materials. [18] The relationship between the mechanical properties of anisotropic materials and their thermophysical characteristics was experimentally revealed using the example of Scots pine ( Pınus sylvéstri s L) wood. [19] The results show that the structures of these perovskite derivatives are stable and they are all anisotropic materials. [20] The method enables the determination of gas flow (in each flow direction) in microchannels forming an orthogonal network, characteristic of isotropic materials. [21] It is assumed that the object is made of isotropic materials with equal values of permittivity and permeability and consists of a spherical volume of material with a positive spatially uniform refractive index and an adjacent spherical layer of material with a negative inhomogeneous refractive index (i. [22] The objective is to determine both the forces and paths of cracks propagating in elastoplastic and anisotropic materials. [23] This suggests that the incorporation of collagen is an efficient way to supplement the lack of confinement while reinforcing mechanical stability to the highly anisotropic materials. [24] This paper deals with the possible field of application of ultrasonic Surface Reflection Method (SRM) to achieve the mechanical characteristics of isotropic materials. [25] This work is devoted to the study changes in temperature and moisture content in anisotropic materials using cellular automata. [26] In this study, Embedded Direct Ink Writing is used to fabricate a muscle mimicking anisotropic phantom that may serve as a standard for imaging studies of anisotropic materials. [27] The parameters of Poly6 yield criterion are expressed with the r-values and yield stresses without any optimization method, which has been successfully applied for highly anisotropic materials. [28] The anisotropy of the directional Young’s modulus and acoustic velocities predict that these alloys are all anisotropic materials. [29] The details of polycrystalline microstructure often influence the early stages of yielding and strain localization under monotonic and cyclic loading, particularly in elastically anisotropic materials. [30] This method can measure both the thermal conductivity and thermal diffusivity in a short time for isotropic materials. [31] Therefore, for the generic class of hyperelastic and isotropic materials, explicit formulae for the displacement field, the stretches and stresses in every point of the beam, following both Lagrangian and Eulerian descriptions, are derived. [32] The novelty here is that stress tensor has given by the most general form of Hooke’s law for anisotropic materials. [33] Quantitative simulation of an orthotropic lamina with a central rectangular hole under a tensile load, eccentric three-point bending test for orthotropic lamina, and compact tension test for cortical bone are performed to verify the ability of the proposed model to describe the damage and fracture behavior of anisotropic materials. [34] Although several techniques have been used to measure the heat transport in anisotropic materials, the accurate determination of anisotropic thermal conductivity remains a major challenge. [35] The illusion device developed from the scattering cancellation employs very simple homogeneous and isotropic materials, but this device is only valid for electrically small objects. [36] Recent developments have included the design of compliant shell mechanisms made with anisotropic materials. [37] Finite element calculations are produced to obtain the direction of the principal stresses and their values in compression and tension at different areas of the monolithic support, which is relevant for anisotropic materials. [38]几个世纪以来，薄壁波纹结构已广泛用于工程应用，因为尽管结构由各向同性材料制成，但波纹使工程师能够定制与方向相关的特性。 [1] 对于屈服的描述，使用了允许区分各向同性材料的各向同性屈服准则。 [2] 我们介绍了一种基于 FFT 的方法来计算异质、局部各向异性材料的有效裂纹能量。 [3] 然而，只有沿磁各向异性材料的易轴方向才能获得高 fr。 [4] 因此，导出了由各向同性材料制成的夹层结构振动分析的初始控制方程组。 [5] 17 at 808 nm），优于大多数二维各向异性材料。 [6] 一旦均质层的修正应力满足 von Mises 准则，Ramberg-Osgood 曲线用于更新各向同性材料的弹性常数。 [7] 通过扩展传统的散射抵消理论，我们提出了一种基于各向同性材料的热斗篷设计新方法。 [8] 还考虑了具有阻尼效应的各向同性和各向异性材料。 [9] 还详细研究了剪切波在任何入射角的传播和分裂，以及它与各向异性材料中裂纹状缺陷的相互作用。 [10] 在这项工作中，虚拟裂纹闭合积分技术被应用到混合有限元中，除了刚度导数程序之外，以评估各向异性材料中裂纹扩展的能量释放率。 [11] 通过铝合金 6016-AC200 的非耦合延性断裂准则研究和模拟各向异性材料的延性断裂行为。 [12] 采用空间问题陈述和变量分离分析方法、离散傅里叶级数逼近函数和数值离散正交化方法分析了由正交各向异性和各向同性材料制成的椭圆形截面空心圆柱体的应力状态。 [13] 这项工作的主要重点是基于从 X 射线显微断层扫描获得的纤维结构的三维重建来预测各向异性材料的有效热导率。 [14] 应力场也是从各向同性材料的胡克定律获得的。 [15] 所提出的 PIL 方法具有以下优点： (a) 可应用于各向同性/各向异性板结构； (b) 它不需要任何信号解释，使其对主动影响监测系统具有吸引力； (c) 对于各向异性材料，不需要准确了解所有传播方向的波速； (d) 不需要参考数据库； (e) 即使在有噪音的情况下也能保持有效。 [16] 具有 σ 各向同性表面电导率的石墨烯层被夹在两个相邻的各向异性材料之间。 [17] 他们只需要少量到中等数量的训练数据和训练时间，就可以在没有人工指导的情况下学习复杂非线性和各向异性材料的本构行为。 [18] 以苏格兰松 ( Pınus sylvéstri s L) 木材为例，实验揭示了各向异性材料的机械性能与其热物理特性之间的关系。 [19] 结果表明，这些钙钛矿衍生物结构稳定，均为各向异性材料。 [20] 该方法能够确定形成正交网络的微通道中的气体流量（在每个流动方向上），这是各向同性材料的特征。 [21] 假设物体由具有相等介电常数和磁导率值的各向同性材料制成，并且由具有正空间均匀折射率的球形材料和具有负不均匀折射率的相邻球形材料层组成（即。 [22] 目的是确定弹塑性和各向异性材料中裂纹扩展的力和路径。 [23] 这表明胶原蛋白的掺入是一种有效的方法来补充缺乏限制，同时增强高度各向异性材料的机械稳定性。 [24] 本文讨论了超声表面反射法 (SRM) 实现各向同性材料力学特性的可能应用领域。 [25] 这项工作致力于使用元胞自动机研究各向异性材料中温度和水分含量的变化。 [26] 在这项研究中，Embedded Direct Ink Writing 用于制造肌肉模仿各向异性体模，可作为各向异性材料成像研究的标准。 [27] Poly6屈服准则的参数用r值和屈服应力表示，无需任何优化方法，已成功应用于高度各向异性材料。 [28] 定向杨氏模量和声速的各向异性预测这些合金都是各向异性材料。 [29] 多晶微观结构的细节通常会影响单调和循环载荷下屈服和应变局部化的早期阶段，特别是在弹性各向异性材料中。 [30] 该方法可以在短时间内测量各向同性材料的热导率和热扩散率。 [31] 因此，对于一般类的超弹性和各向同性材料，推导出位移场、梁每个点的拉伸和应力的明确公式，同时遵循拉格朗日和欧拉描述。 [32] 这里的新颖之处在于，应力张量由胡克定律的最一般形式给出，用于各向异性材料。 [33] 对中心矩形孔正交各向异性椎板在拉伸载荷下的定量模拟、正交各向异性椎板偏心三点弯曲试验和皮质骨紧凑拉伸试验进行了验证，以验证所提出模型对损伤和断裂行为的描述能力。各向异性材料。 [34] 尽管已使用多种技术来测量各向异性材料中的热传输，但准确测定各向异性热导率仍然是一项重大挑战。 [35] 从散射抵消发展而来的幻觉装置采用了非常简单的均质和各向同性材料，但这种装置仅对电小物体有效。 [36] 最近的发展包括设计由各向异性材料制成的柔性外壳机构。 [37] 进行有限元计算以获得与各向异性材料相关的整体支撑不同区域的主应力方向及其在压缩和拉伸中的值。 [38]
Transversely Isotropic Materials 横向各向同性材料
Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. [1] In the second part application to effective elastic coefficients of transversely isotropic materials such as clay rocks, in the frame of homogenization theory is presented to illustrate the impact of concavity parameter on overall properties. [2] Results show that the material anisotropy of transversely isotropic materials exerts a strong influence on the stress intensity factors. [3] In this paper, the mechanical behavior of incompressible transversely isotropic materials is modeled based on the strain energy density function proposed based on a novel framework. [4] For consistency with the infinitesimal theory, it is well known that there are three necessary conditions on the derivatives of W $W$ (evaluated in the undeformed state) that have to be to be satisfied in terms of the three independent elastic moduli of the linear theory for incompressible transversely isotropic materials. [5] This article presents a short review of the harmonic general solutions for uncoupled elasticity of transversely isotropic materials with thermal and other effects. [6] All the three layers are modeled as transversely isotropic materials for which the stiffness parameters include the transverse elastic modulus and longitudinal elastic modulus. [7]得到了由各向同性和横向各向同性材料组合而成的径向和功能梯度圆柱体中轴对称波传播问题的精确解。 [1] 第二部分在粘土岩等横向各向同性材料的有效弹性系数中的应用，在均质化理论的框架下，阐述了凹度参数对整体性能的影响。 [2] nan [3] nan [4] nan [5] nan [6] nan [7]
Homogeneou Isotropic Materials 均质各向同性材料
While geometry, mass and stiffness can often be characterised quite accurately, at least for homogeneous isotropic materials, the experimental quantification of structural damping is a time consuming endeavour. [1] A new peridynamic bond failure model is proposed for mixed-mode crack fracture analysis in material interface and homogeneous isotropic materials, which utilize bond failure criteria presented for mixed-mode peridynamic bonds using the angle-dependent formations of critical stretch (CS) or critical energy density (CED). [2] For homogeneous isotropic materials, the stiffness matrixes for RBSM are equal to that for ISEM, and there are only four items different in the stiffness matrix for AEM. [3] The waveguide structures under consideration may contain homogeneous isotropic materials such as dielectrics, semiconductors, metals, and so forth. [4] Based on the principle of superposition and an equivalent indentation method to solve an axisymmetric external crack problem, a series of closed-form solutions are derived for power-law punch profiles which reduce to the existing solutions for homogeneous isotropic materials and for paraboloidal geometries as special cases. [5]虽然几何、质量和刚度通常可以非常准确地表征，至少对于均质各向同性材料而言，结构阻尼的实验量化是一项耗时的工作。 [1] 为材料界面和均质各向同性材料中的混合模式裂纹断裂分析提出了一种新的近场动力学结合失效模型，该模型利用临界拉伸 (CS) 或临界能量的角度相关形式为混合模式近场动力学结合提出的结合失效准则密度（CED）。 [2] nan [3] nan [4] nan [5]
Thin Isotropic Materials 薄各向同性材料
Therefore, in the present work a 3D hexahedral solid-shell element, based on the initial work of Schwarze and Reese [2,3], which has shown promising results for the forming of thin isotropic materials [1], is extended for highly anisotropic materials. [1] In the present investigation, free vibration analysis of thin isotropic materials of bonded metallic plates under various boundary conditions is found using finite element method. [2]因此，在目前的工作中，基于 Schwarze 和 Reese [2,3] 的初步工作的 3D 六面体固体壳单元，在薄各向同性材料 [1] 的形成方面显示出有希望的结果，并扩展到高度各向异性材料。 [1] 在本研究中，使用有限元方法发现了在各种边界条件下粘合金属板的薄各向同性材料的自由振动分析。 [2]
Conventional Isotropic Materials 常规各向同性材料
Conventional joining elements like rivets and screws or simple clamping are designed for an application in conventional isotropic materials such as steel or aluminum. [1] Three types of material are tested: conventional isotropic materials (like XPS), compressible anisotropic materials (like wood fiber insulation) and heterogeneous anisotropic materials (like light-earth biobased concrete). [2]铆钉和螺钉等传统的连接元件或简单的夹持设计用于传统各向同性材料（如钢或铝）的应用。 [1] 测试了三种类型的材料：常规各向同性材料（如 XPS）、可压缩各向异性材料（如木纤维绝缘材料）和异质各向异性材料（如轻土生物基混凝土）。 [2]