Homogenized properties of elastic–viscoplastic composites with periodic internal structures

Ohno, Nobutada; Wu, Xu; Matsuda, Takeshi

doi:10.1016/s0020-7403(99)00088-0

Cited by 92 publications

(44 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Displacements u i and u b are gathered from u. Using these two vectors, a new u is obtained as shown in (18).…”

Section: Partitioning Of Algebraic Equationsmentioning

confidence: 99%

“…They appeared due to the complexity of microstructural mechanical and physical behaviour along with the developments of computational techniques. These approaches have been used in a large number of applications, see [14,15,16,17,18]. The unit cell methods provide information on the local microstructural fields and effective material properties.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A multiscale finite element technique for nonlinear multi-phase materials

Molina

Curiel-Sosa

2015

Finite Elements in Analysis and Design

View full text Add to dashboard Cite

This paper presents a multiscale finite element homogenization technique (MFEH) for modelling nonlinear deformation of multi-phase materials. A novel condensation technique to relate force variations acting on the representative volume element (RVE) -involving antiperiodicity of traction forces at RVE corners-and displacement variations on boundary-nodes is proposed. The formulation to accommodate the condensation technique and overall tangent modulus is presented in detail. In this context, the effective homogenized tangent modulus is computed as a function of microstructure stiffness matrix which, in turn, depends upon the material properties and, geometrical distribution of the micro-constituents. Numerical tests concerning plastic materials with different voids distributions are presented to show the robustness of the proposed MFEH.

show abstract

“…Displacements u i and u b are gathered from u. Using these two vectors, a new u is obtained as shown in (18).…”

Section: Partitioning Of Algebraic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A multiscale finite element technique for nonlinear multi-phase materials

Molina

Curiel-Sosa

2015

Finite Elements in Analysis and Design

View full text Add to dashboard Cite

show abstract

“…In many publications, the analysis using periodic boundary condition is modelled to a single unit cell [7,8] while few using multilayer composite [9,10]. This paper attempts to reveal the elastic properties results from PBC in comparison with the experimental study, as well as the elastic prediction on unidirectional micromechanics of a single unit cell.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Elastic Properties for Unidirectional Carbon Composites: Periodic Boundary Condition Approach

Kamarudin

Ismail

2015

AMM

View full text Add to dashboard Cite

Abstract.A three-dimensional finite element model of unidirectional fibre reinforced composites has been investigated numerically using periodic boundary condition method. This method was used to predict the elastic mechanical behaviour of a unit cell of such composites. Periodic boundary condition was used due to its capability to represent a single unit cell similar to the neighbouring unit cells with continuous physical elements. It is assumed that the paired nodes displaced continuously without separating or interrupting other nodes during the deformation step. From the study, it was revealed that the elastic modulus agreed well with the experimental results, indicating that the present model could be used effectively.

show abstract

“…HFGMCÕs analytical framework utilizes elements of the homogenization theory for materials with periodic microstructures, cf. Sanchez-Palencia (1980), Suquet (1987), Kalamkarov and Kolpakov (1997), and Ohno et al (2000), but the method of solution for the unit cell problem is based on the previously developed higher-order theory for functionally graded materials, Aboudi et al (1999). Just like GMC, HFGMC admits arbitrary constitutive theories for modeling local phase response and produces closed-form macroscopic constitutive equations for the homogenized material response.…”

Section: Introductionmentioning

confidence: 99%