A multi-scale computational method including contact for the analysis of damage in composite materials

Drosopoulos, Georgios Α.; Wriggers, Peter; Stavroulakis, Georgios Ε.

doi:10.1016/j.commatsci.2014.08.004

Cited by 17 publications

(13 citation statements)

References 26 publications

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“…Just recently Drosopoulos et al [23] investigated a similar problem in two dimensions by means of computational homogenization, i.e. without reduction of the memory requirements and of the computation time for the microscale problem.…”

Section: Discussionmentioning

confidence: 99%

“…Similar to [24] only two-dimensional microstructures were considered and no reduction of the computational scheme for the microscopic problem was applied. Just recently Drosopoulos et al [23] investigated a problem setting that is very similar to the one studied in the present contribution: they examined a two-dimensional microstructure with circular inclusions and a contact model on the interface by means of a nested finite element technique. In the aforementioned works the microscale simulations are associated with prohibitively high computational cost (CPU time; memory), even though attention is limited to two-dimensional microstructures.…”

Section: Introductionmentioning

confidence: 92%

“…Assuming linear bulk behavior and a class of hyperelastic cohesive laws, a novel variation of the pRBMOR is developed in order to efficiently simulate three-dimensional microstructures with imperfect interfaces. A problem similar to the one recently investigated in terms of two-dimensional computational homogenization by Drosopoulos et al [23] is examined.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, computational homogenization methods such as the FE 2 (FE Square) method have been proposed for different (mostly two-dimensional, academic) nonlinear problems [20][21][22][23]. For example, Feyel and Chaboche [20] investigated the nonlinear response of long fiber reinforced SiC/Ti composite materials using a rather simple two-dimensional representative volume element (RVE).…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear reduced order homogenization of materials including cohesive interfaces

Fritzen

Leuschner

2015

Comput Mech

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The mechanical response of composite materials is strongly influenced by the nonlinear behavior of the interface between the constituents. In order to make reliable yet computationally efficient predictions for such materials, a reduced order model is developed. Conceptual ideas of the NTFA (Michel and Suquet, Int J Solids Struct 40: 6937-6955, 2003, Comput Methods Appl Mech Eng 193:5477-5502, 2004) and of the pRBMOR Leuschner Comput Methods Appl Mech Eng 260:143-154, 2013, Fritzen et al., Comput Methods Appl Mech Eng 278:186-217, 2014) are adopted. The key idea is to parameterize the displacement jumps on the cohesive interfaces by a reduced basis of global ansatz functions. Micromechanical considerations and the potential structure of the constitutive models lead to a variational formulation and reduced equilibrium conditions. The effect of the preanalysis phase on the accuracy is investigated using geometrically optimal training directions. The reduced model is tested for three-dimensional microstructures. Besides the effective stress response, the tension-compression asymmetry and the distribution of the separation of the interface are investigated. Memory savings on the order of 10 5 are realized. The computing time is reduced considerably. asymmetry · Potential-based reduced basis model order reduction (pRBMOR)

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear reduced order homogenization of materials including cohesive interfaces

Fritzen

Leuschner

2015

Comput Mech

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“…From another point of view, multi-level computational homogenization incorporates a concurrent analysis of both the macro and the microstructure, in a nested multi-scale approach [19][20][21]. Within this method, the macroscopic constitutive behaviour is determined during simula-tion, after solving the microscopic problem and transferring the information on the macroscopic scale.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Masonry Structures, Taking Into Account Measured Geometric and Material Data

Drosopoulos¹,

Koutsianitis²,

Stavroulaki³

et al. 2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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A new numerical model for the analysis on low‐velocity impact damage evolution of carbon fiber reinforced resin composites

Sun

Ping

et al. 2016

J of Applied Polymer Sci

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A new numerical simulation method was proposed to predict the mechanical behavior of carbon fiber reinforced resin composites under low‐velocity impact load. The impact damage evolution can be characterized in the form of energy dissipation which can be calculated through the new numerical model. The evolution mechanism of delamination was analyzed through distinguishing between the normal induced delamination and tangential slip induced delamination. The drop weight tests were conducted on composite laminates with five kinds of stacking sequence. Experimental analysis was also presented in this article. The damage area and distribution was investigated through ultrasonic C‐scan. The prediction had a good agreement with the experimental results through the comparison of impact response. © 2016 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2017, 134, 44374.

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A multi-scale computational method including contact for the analysis of damage in composite materials

Cited by 17 publications

References 26 publications

Nonlinear reduced order homogenization of materials including cohesive interfaces

Nonlinear reduced order homogenization of materials including cohesive interfaces

Numerical Analysis of Masonry Structures, Taking Into Account Measured Geometric and Material Data

A new numerical model for the analysis on low‐velocity impact damage evolution of carbon fiber reinforced resin composites

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