### Homogenization techniques for the analysis of porous SMA

the voids as inclusions. Thus a multiscale approach could be considered as an opportunity to satisfactory model the response of porous SMA devices. In particular the constitu-tive response of a heterogeneous material derived through homogenization techniques is integrated at the material level in the multiscale structural analysis

Get Price### NONLINEAR MULTISCALE HOMOGENIZATION OF

the CNT and the CNT/polymer interface based on molecular mechanics and equivalent continuum modeling. Next by applying a Mori–Tanaka analytical model effective elastic properties for composites with aligned and misaligned CNTs were calculated. Spanos and Kontsos (2008) presented a stochastic multiscale homogenization procedure to

Get Price### Homogenization-based multiscale analysis for equivalent

Homogenization-based multiscale analysis for equivalent mechanical properties of nonwoven carbon-fiber fabric composites October 2019 Journal of Mechanical Science and Technology 33(10)

Get Price### Computational Homogenization and Multiscale Modeling

Multiscale modelingBridging the scales •"Vertical" bridging Computational homogenization −Homogenization on RVE "prolongation conditions" part of model −Model adaptivity to account for local defects •"Horizontal" bridging Concurrent multiscale modeling −Models at different scales coexisting in adjacent parts of the domain (within

Get Price### Elasto-plasticity Homogenization Analysis of CFRP Multi

Elasto-plasticity Homogenization Analysis of CFRP. Performing the homogenization analysis for one-way reinforced material with carbon fiber and polyimide resin. Evaluating the macro characteristics of the stressstrain by performing a pure shear numerical material test to the material model in one direction respectively to the single axes of

Get Price### Multiscale Homogenization Analysis of the Effective

Aug 08 2016 · A multiscale finite-element model was developed for a two-dimensional unit cell to solve the canonical cell equation that arises in homogenization which provides numerical solution of the effective elastic moduli.

Get Price### Computational Homogenization and Multiscale Modeling

Multiscale modelingBridging the scales •"Vertical" bridging Computational homogenization −Homogenization on RVE "prolongation conditions" part of model −Model adaptivity to account for local defects •"Horizontal" bridging Concurrent multiscale modeling −Models at different scales coexisting in adjacent parts of the domain (within

Get Price### Multiscale Modeling Homogenization and Nonlocal Effects

As possible remedies multiscale techniques like homogenization methods have been developed to capture effective properties with either analytical means or computational algorithms based on numerical homogenization 6 30 31 46 49 60 . Meanwhile in recent years there have been growing interests and capabilities in the nonlocal modeling of

Get Price### Homogenization-based interval analysis for structural

Apr 20 2017 · This paper presents a homogenization-based interval analysis method for the prediction of coupled structural-acoustic systems involving periodical composites and multi-scale uncertain-but-bounded parameters. In the structural-acoustic system the macro plate structure is assumed to be composed of a periodically uniform microstructure. The equivalent macro material properties of the

Get Price### Finite Element Analysis with Iterated Multiscale Analysis

From Table 3 it is easy to see that convergence of the equivalent mechanical parameter tensor computed by the SMSA-FE algorithm exists om Table 3 the symmetric positive definite property of the equivalent mechanical parameter tensor and the convergence of the finite element errors with the different mesh sizes ℎ 0 are proved.. The second example is a concrete named as C30 with three

Get Price### Analysis for deformation behavior of multilayer ceramic

Jun 21 2018 · To analyze the deformation behavior of the capacitor which consisted of several hundred laminated ceramic and Ni layers in the plane direction the material properties were represented by equivalent material properties based on the multiscale homogenization approach.

Get Price### MULTISCALE CONTACT HOMOGENIZATION OF GRANULAR

Accordingly a contact homogenization methodology is proposed where the overall frictional behavior can be quantified based on a micromechanical testing procedure that lends itself naturally to a multiscale analysis environment thereby allowing the replacement of the original interface with an effectively equivalent but a homogeneous one.

Get Price### Homogenization-based interval analysis for structural

Apr 20 2017 · This paper presents a homogenization-based interval analysis method for the prediction of coupled structural-acoustic systems involving periodical composites and multi-scale uncertain-but-bounded parameters. In the structural-acoustic system the macro plate structure is assumed to be composed of a periodically uniform microstructure. The equivalent macro material properties of the

Get Price### Finite Element Analysis with Iterated Multiscale Analysis

2.1. Iterated Multiscale Analysis Model For the brief all of the grains are assumed as the ellipsoids. Set a domain Ω to represent a composite with multiscale random grains shown in Figure 1 a .SetΩ l to be a set of cube cells of the size εl shown in Figure 1 b . Based on 27 the iterated multiscale analysis model can be represented as

Get Price### Homogenization-based multiscale crack modelling from

The second approach is based on the homogenization concept and has emerged as a valuable tool to model heterogeneous materials in an eﬃcient way. The third approach known as the concurrent multiscale method somehow resemble domain decomposition methods. For a detailed taxonomy of multiscale methods refer to 1 . ∗Corresponding author

Get Price### Numerical Calculation of Equivalent Permeability Tensor

Aug 20 2015 · The flow in porous rock and fractures follows Darcy s law and the vugs system is free fluid region. Based on two-scale homogenization theory we obtained an equivalent macroscopic Darcy s law on coarse scale from fine-scale discrete fracture-vug network model. A finite element numerical formulation for homogenization equations is developed.

Get Price### Numerical methods for multiscale inverse problems

The mathematical analysis is based on homogenization theory for partial differential equations and classical theory of inverse problems. The numerical analysis involves the design of multiscale methods such as the heterogeneous multiscale method (HMM). The use of HMM solvers for the forward model has unveiled theoretical and numerical results

Get Price### Computational Homogenization and Multiscale Modeling

Multiscale modelingBridging the scales •"Vertical" bridging Computational homogenization −Homogenization on RVE "prolongation conditions" part of model −Model adaptivity to account for local defects •"Horizontal" bridging Concurrent multiscale modeling −Models at different scales coexisting in adjacent parts of the domain (within

Get Price### Multiscale Failure Analysis of Cylindrical Composite

Several models have been proposed to estimate equivalent properties of the lamina from constituent data. Basically this is established by micromechanics analysis related to analytical semi-empirical tools elasticity-based models homogenization models among other possibilities. Nevertheless the majority of models are relat-

Get Price### Numerical methods for multiscale inverse problems

The mathematical analysis is based on homogenization theory for partial differential equations and classical theory of inverse problems. The numerical analysis involves the design of multiscale methods such as the heterogeneous multiscale method (HMM). The use of HMM solvers for the forward model has unveiled theoretical and numerical results

Get Price### Homogenization and equivalent in-plane properties of two

and Nagai (2002a b) which propose multiscale and multi-grid methods based on extension of the asymptotic expansions used in classical homogenization. Alternative multiscale approaches for the analysis of periodic media are the assumed strain method proposed in McDevitt et al. (2001) and McDevitt et al. (1999) and the

Get Price### A framework for implementation of RVE‐based multiscale

Jan 29 2018 · This study presents an isogeometric framework for incorporating representative volume element–based multiscale models into computational homogenization. First‐order finite deformation homogenization theory is derived within the framework of the method of multiscale virtual power and Lagrange multipliers are used to illustrate the effects

Get Price### HOMOGENIZATION PROCEDURES FOR THE ANALYSIS OF

Homogenization methods. This work proposes the use of HOMOGENIZATION procedures to characterize eco-composites. An homogenization procedure is based on the assumption that exist a set of equations or a representative element that can provide a response equivalent to the one provided by the actual material. 4. Material Model

Get Price### Global sensitivity analysis of multiscale properties of

ANOVA is well suited for homogenization-based multiscale modeling since a base set of parameter values either is unknown/unknowable due to pore-scale heterogene-ity of natural (e.g. geologic) materials or has to be identiﬁed by solving a shape optimization problem (in the case of material design). We develop these ideas in the context of

Get Price### MULTISCALE CONTACT HOMOGENIZATION OF GRANULAR

Accordingly a contact homogenization methodology is proposed where the overall frictional behavior can be quantified based on a micromechanical testing procedure that lends itself naturally to a multiscale analysis environment thereby allowing the replacement of the original interface with an effectively equivalent but a homogeneous one.

Get Price