## What is/are Isotropic Composite?

Isotropic Composite - 9% increase in energy absorption is achieved by the quasi-isotropic composites comparing with the orthotropic composites under the same areal density, caused by enlarged stress dissipation and deformation areas as the yarn directions increase.^{[1]}Remarkably, experimental results demonstrate that by exciting such anisotropic composites along the alignment direction enhances the LFIH effect by more than 30%.

^{[2]}The paper introduces an approximate method for computing the effective conductivity of isotropic composites with imperfect interfaces in two-dimensional space.

^{[3]}Experimental results validated the feasibility of the developed acoustic field-assisted TPP process on printing anisotropic composites with spatially controlled material compositions.

^{[4]}Herein, we investigate the electrical resistance relaxation of anisotropic composites when they are subjected to an external electric field.

^{[5]}A hybrid model of nonlinear homogenisation of anisotropic composites was developed, based on the secant Eshelby's model of the second order.

^{[6]}This analysis is necessary for the creation of anisotropic composites that are sensitive to external stimuli.

^{[7]}For a certain kind of shale or tight sandstones, which are viewed as isotropic composites, both the models work well.

^{[8]}Elastic modulus measurements of anisotropic composites under a magnetic field suggest that NBR composites have much better field-dependent magnetic properties than NR composites.

^{[9]}The results show that the resistive loss dominates the eddy current attenuation in less conductive and high anisotropic composites, resulting in a frequency independent attenuation law, which is very different from skin effect.

^{[10]}In this research, we applied a polynomial hybrid approach for modelling longitudinal guided waves propagating in anisotropic composites multi-layered pipes.

^{[11]}5 wt%, which is over 3 times that of the isotropic composite with the same BN content.

^{[12]}The anisotropic composites damage evolution was characterized by Murakami-Ohno damage theory.

^{[13]}Due to extensive applications in engineering practice, analysis of heat transfer in three-dimensional anisotropic composites has remained to be an important research topic.

^{[14]}Our work mainly researches the high-precision calculation model of equivalent permittivity of anisotropic composites based on machine learning.

^{[15]}Based on the understanding of this principle, a clever approach for a hidden code could be proposed which is obtained from mixing pure iron oxide and silica coated microrod supraparticles in such an anisotropic composite.

^{[16]}The obtained results in this paper can be applied to design the fiber-reinforced anisotropic composites under thermal load to satisfy some particular engineering requirements.

^{[17]}In a previous work, a very promising mathematical model for predicting the electrical conductivity below the electrical percolation threshold, for both isotropic and anisotropic composites, was pub.

^{[18]}A method is proposed for generating reliable representative volume elements (RVEs) that allows reducing the statistical analysis required for the simulation of the mechanical behavior of isotropic composites highly filled with monosized spheres.

^{[19]}Past work has shown that thermally anisotropic composites (TACs) can be created by the alternate layering of two dissimilar, isotropic materials.

^{[20]}Correction for 'High piezo-resistive performances of anisotropic composites realized by embedding rGO-based chitosan aerogels into open cell polyurethane foams' by Tianliang Zhai et al.

^{[21]}In particular the multiscale strategy is proposed for deriving the constitutive relations of anisotropic composites with periodic microstructure and allows us to reduce the typically high computational cost of fully microscopic numerical analyses.

^{[22]}In this work, an anisotropic composite is fabricated by wet 3D printing of epoxy crosslinked chitosan/carbon microtubes.

^{[23]}Most aerogels are isotropic, thus leading to isotropic composites when they are used as fillers.

^{[24]}The quasi-isotropic composite has the smallest induced damage and the highest peak load.

^{[25]}In addition, the design result of anisotropic composite is compared with the isotropic multi-material design result to validate the benefit of anisotropic composite in actuators.

^{[26]}The feasible method to solve stress-field problems in anisotropic composites is to use complex analytic function theory, and the results have been reported [6].

^{[27]}No analytical solution exists for predicting dispersion in highly anisotropic composites.

^{[28]}The method combines a quantitative wavefront expression for an anisotropic composite and the conventional time-of-flight (ToF) method to detect debonding damage between stiffeners and the composite skin as well as low-velocity impact damage in the skin sheet.

^{[29]}The porosity provides a meaningful model for the thermal shock damage evolution in the anisotropic composites.

^{[30]}Industrial printed circuit boards (PCBs) are nonhomogeneous and anisotropic composites consisting of copper traces, glass-reinforced epoxy laminate (FR-4), solder mask, vias, and other features.

^{[31]}This article proposes an efficient computational methodology for evaluation of two-dimensional interlaminar stresses in thin anisotropic composites subjected to inertial loads.

^{[32]}The only viable method to solve the stress boundary problems in anisotropic composites may be to use the complex analytic function theory, and the results have been reported [9~12].

^{[33]}

## low velocity impact

A series of drop tower low-velocity impact tests were performed on quasi-isotropic composite plates.^{[1]}Quasi-isotropic composite laminates were subjected to low-velocity impact energy ranging from 2J to 4.

^{[2]}In order to elucidate the hygroscopic effects on impact-resistance of carbon fiber/epoxy quasi-isotropic composite plates, low-velocity impact tests are conducted on dry and hygroscopically conditioned plates, respectively, under identical configurations.

^{[3]}

## Transversely Isotropic Composite

The object of the research was a unidirectional transversely isotropic composite with a two-phase polydisperse structure - a piezo actuator cell and fragments of polydisperse fibrous structures.^{[1]}When both the matrix and the fibers are isotropic, for the 2D fiber distributions at least three direction arrangements of fibers are needed to build the fiber-reinforced transversely isotropic composite materials, and for the 3D fiber distributions at least six direction arrangements are needed to build the fiber-reinforced isotropic composite materials.

^{[2]}This paper develops a micropolar constitutive model for a transversely isotropic composite material comprised of a polymer matrix and unidirectional fibers.

^{[3]}In this paper, the strength and deformation behavior of transversely isotropic composite rock-like material, which consists of a hard rock-like material and a weak rock-like material, are first investigated under different confining pressures by using a rock triaxial testing system.

^{[4]}Failure initiation is predicted with state of the art failure criteria for transversely isotropic composite materials.

^{[5]}To illustrate the new constitutive equations, strain energy density functions in terms of the distortion tensor are provided for unconstrained and incompressible isotropic materials, incompressible transversely isotropic composite materials, and incompressible orthotropic composite materials with two families of fibers.

^{[6]}A discrete element (DE) model is developed to simulate, with low computational effort, the propagation of solitary waves in a linear array of spherical particles as well as their interaction with a transversely isotropic composite beam.

^{[7]}

## isotropic composite material

For anisotropic composite material cases, directivity plots can be extracted, containing the phase-velocities, group velocities, and slowness curves.^{[1]}The paper shows the results of research on the stress-strain behavior of anisotropic composite materials in the structures of wood-metal slide bearings.

^{[2]}This opens up prospects for the use of anisotropic composite materials to ensure the thermal regime of the nanosatellite.

^{[3]}” Step deformation is the main mechanism of deformation and destruction of anisotropic composite materials upon impact.

^{[4]}However, the structural response of shear walls reinforced with non-isotropic composite material nets, bonded with relatively low-strength and non-elastic mortar matrices is difficult to study with numerical models.

^{[5]}In what follows, we develop a coupled chemo-mechanical model to predict the oxidation response of this highly anisotropic composite material, based on an earlier developed multiphysics theory of bulk polymer’s oxidation.

^{[6]}Modern technology shows increased demands on the strength properties of machines, their parts, as well as various structures, reducing their weight, volume and size, which leads to the need to use anisotropic composite materials.

^{[7]}Technique of determination of permissible compressive stresses in products made of anisotropic composite materials with holes in joints “parent sheet - stiffening element” is introduced.

^{[8]}The modified representations are used to derive closed-form expressions for the local elastic fields and effective moduli of a macroscopically isotropic composite materials containing spherical and circular inhomogeneities with the interfaces described by the complete Gurtin-Murdoch and Steigmann-Ogden models.

^{[9]}However, bone is an anisotropic composite material made by mineral, proteins and water assembled in a hierarchical structure.

^{[10]}When both the matrix and the fibers are isotropic, for the 2D fiber distributions at least three direction arrangements of fibers are needed to build the fiber-reinforced transversely isotropic composite materials, and for the 3D fiber distributions at least six direction arrangements are needed to build the fiber-reinforced isotropic composite materials.

^{[11]}This paper develops a micropolar constitutive model for a transversely isotropic composite material comprised of a polymer matrix and unidirectional fibers.

^{[12]}For enhancing the chatter stability, using anisotropic composite materials in the preparation of boring bars proves to be an effective method so as to enhance the boring bar’s natural frequency and damping.

^{[13]}In many aerospace and mechanical applications, wings and rotor blades present complex geometric shapes and are made of advanced, highly anisotropic composite materials.

^{[14]}Anisotropic composite materials can be divided into three different fiber reinforcements, namely synthetic, natural, and hybrid fibers.

^{[15]}The effect of components of the thermal conductivity tensor of heat-protection material on heat fluxes from the gas to the body were studied based on the first obtained analytical solution of the problem of heat transfer in anisotropic composite material in conditions of a convective-conductive heat transfer flow around by a high-temperature gasdynamic boundary layer.

^{[16]}The applicability of both methods was further proven by analyzing the isotropic composite materials, a process involving the use of iron particles embedded in a dielectric matrix.

^{[17]}Failure initiation is predicted with state of the art failure criteria for transversely isotropic composite materials.

^{[18]}To illustrate the new constitutive equations, strain energy density functions in terms of the distortion tensor are provided for unconstrained and incompressible isotropic materials, incompressible transversely isotropic composite materials, and incompressible orthotropic composite materials with two families of fibers.

^{[19]}This paper presents a topology optimization method which is capable of designing both topology and orientation distribution of anisotropic composite material simultaneously.

^{[20]}This paper presents a fast numerical approach to optimize the localization of induced power in highly anisotropic composite materials with a large scale factor.

^{[21]}Design rules were developed for the optimization of anisotropic composite materials.

^{[22]}

## isotropic composite laminate

This approach is finally validated through modal analysis of various anisotropic composite laminates.^{[1]}The compression failure behaviors of CCF300/5228A quasi-isotropic composite laminates with prefabricated surface cracks were studied experimentally.

^{[2]}7 mm, and compared it with the behavior of continuous fiber quasi-isotropic composite laminate with a similar plate thickness.

^{[3]}Quasi-isotropic composite laminates were subjected to low-velocity impact energy ranging from 2J to 4.

^{[4]}In this paper, numerical model based on continuum damage mechanics is presented to predict the damage behavior in quasi-isotropic composite laminates under low-velocity impact conditions.

^{[5]}This research presents a numerical method to analyze the propagation characteristics of guided waves in multi-layered anisotropic composite laminates.

^{[6]}The paper deals with the determination of effective material parameters of anisotropic composite laminate structures using ultrasonic surface acoustic waves.

^{[7]}

## isotropic composite plate

A series of drop tower low-velocity impact tests were performed on quasi-isotropic composite plates.^{[1]}In this work, we studied the scattering behavior of an incident A0 guided wave mode propagating towards an impacted damaged zone created within a quasi-isotropic composite plate.

^{[2]}In this method, pure SH0 wave excitation was achieved using the adjustable angle beam transducers (ABT) in quasi-isotropic composite plates.

^{[3]}In order to elucidate the hygroscopic effects on impact-resistance of carbon fiber/epoxy quasi-isotropic composite plates, low-velocity impact tests are conducted on dry and hygroscopically conditioned plates, respectively, under identical configurations.

^{[4]}Due to wide application of anisotropic composite plates in modern engineering structures and they were studied rare in literature, the main goal of this work is to study dynamic stability analysis of general anisotropic composite plates.

^{[5]}It is thus proposed in this paper to investigate strategies for the spatial integration of common baseline-free methods (namely BI and RR) on an experimental case of damage on a highly anisotropic composite plate.

^{[6]}Experiments were conducted on cross-ply and quasi-isotropic composite plates with identical boundary conditions.

^{[7]}

## isotropic composite film

Anisotropic composite films of polyaniline (PANI) with single-walled carbon nanotube (SWCNT) were prepared by in-situ electro-polymerization on highly oriented high density polyethylene (HDPE) films.^{[1]}Further, anisotropic composite films exhibited in-plane thermal conductivity as high as ∼3.

^{[2]}This facile strategy should be applicable to other natural or synthetic polymers to fabricate anisotropic composite films with potential applications as optical devices, sensors, and actuators.

^{[3]}The influence of organoclays on the mechanical properties and drawability of these isotropic composite films was investigated.

^{[4]}

## isotropic composite beam

New analytical solutions for the static deflection of anisotropic composite beams resting on variable stiffness elastic foundations are obtained by the means of the Homotopy Analysis Method (HAM).^{[1]}In this paper, some analytical results via extended Galerkin method on free vibration characteristics of an anisotropic composite beam, which is modeled as a nonuniform thin-walled structure with a chordwise asymmetric closed cross-section and corrected the warping functions, are newly presented.

^{[2]}A discrete element (DE) model is developed to simulate, with low computational effort, the propagation of solitary waves in a linear array of spherical particles as well as their interaction with a transversely isotropic composite beam.

^{[3]}

## isotropic composite structure

This study presents a methodology to optimize an anisotropic composite structure, comprising in performing cross-section optimization of a topologically-optimized structure through an evolutionary optimization using a genetic algorithm (GA).^{[1]}Wave propagation characteristics in both isotropic and anisotropic composite structures can also be studied.

^{[2]}

## isotropic composite foam

Herein, a series of bio-based anisotropic composite foams were fabricated from oil-in-water (o/w) high internal phase Pickering emulsions (Pickering HIPEs) stabilized by both bio-based poly (urethane-acrylate) (PUA) and poly (cyclotriphosphazene-co-4,4ʹ-sulfonyldiphenol) (PZS) particles.^{[1]}Afterwards, PMOPZ was integrated with CNF to design an anisotropic composite foam via the unidirectional freeze-drying method.

^{[2]}

## isotropic composite cylinder

Such a problem has relevance to several problems of technological significance, for example blood vessels can be idealized as finite anisotropic composite cylinders.^{[1]}Such a problem has relevance to several problems of technological significance, for example blood vessels can be idealized as finite anisotropic composite cylinders.

^{[2]}

## isotropic composite dielectric

The widespread use of anisotropic composite dielectric coatings operating in the microwave range in various science-intensive areas has led to the search and selection of effective methods for radio wave nondestructive testing of their electrophysical parameters.^{[1]}The widespread use of anisotropic composite dielectric coatings operating in the microwave range in various science-intensive areas has led to the search and selection of effective methods of radio wave nondestructive testing of their electrophysical parameters.

^{[2]}