Book contents
- Computational Grains
- Computational Grains
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Computational Homogenization in the Micromechanics of Heterogeneous Materials
- 3 Direct Numerical Simulation of Materials Using Computational Grains
- 4 Trefftz Trial Functions for Computational Grains for Planar and 3D Problems
- 5 Computational Grains for Particulate Composites and Porous Materials
- 6 Computational Grains for Cylindrical Fiber Composites
- 7 Computational Grains for Nanocomposites
- 8 Computational Grains for Composites with Coated Inclusions
- 9 Computational Grains for Viscoelastic Composites
- 10 Computational Grains for Piezoelectric Composites/Porous Materials
- 11 Computational Grains with Embedded Microcracks in the Matrix and Inclusions
- 12 Multi-Scale Modeling of Composite Structures Using Computational Grains
- Index
- References
9 - Computational Grains for Viscoelastic Composites
Published online by Cambridge University Press: 05 October 2023
- Computational Grains
- Computational Grains
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Computational Homogenization in the Micromechanics of Heterogeneous Materials
- 3 Direct Numerical Simulation of Materials Using Computational Grains
- 4 Trefftz Trial Functions for Computational Grains for Planar and 3D Problems
- 5 Computational Grains for Particulate Composites and Porous Materials
- 6 Computational Grains for Cylindrical Fiber Composites
- 7 Computational Grains for Nanocomposites
- 8 Computational Grains for Composites with Coated Inclusions
- 9 Computational Grains for Viscoelastic Composites
- 10 Computational Grains for Piezoelectric Composites/Porous Materials
- 11 Computational Grains with Embedded Microcracks in the Matrix and Inclusions
- 12 Multi-Scale Modeling of Composite Structures Using Computational Grains
- Index
- References
Summary
In this chapter, viscoelasticity effects in composites are studied. Three-dimensional CGs with linear viscoelastic matrices, containing linearly elastic spherical inclusions with or without interphases/coatings are treated. For each CG, the independent displacement fields are developed by the characteristic-length-scaled Papkovich-Neuber solutions and spherical harmonics. A compatible boundary displacement field is also assumed with Wachspress coordinates as nodal shape functions on each of the polygonal faces. Multi-field boundary variational principles are used to develop the CG stiffness matrices. After the establishment of CGs in Laplace transform domain, the homogenized and localized responses are transformed back to the time domain using the Zakian technique. With different kinds of models to describe the property of the viscoelastic polymers, the generated homogenized moduli and localized stress distributions are validated against the experimental data, simulations by commercial FE software, and predictions by composite spherical assemblage models. Parametric studies are also carried out to investigate the influence of material and geometric parameters on the behavior of viscoelastic composites. Finally, the viscoelastic CGs are also used to study the effect of the negative Young’s modulus of particles on the stability and loss tangent of viscoelastic composites.
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- Information
- Computational GrainsMicromechanical Genome for Heterogeneous Materials, pp. 168 - 191Publisher: Cambridge University PressPrint publication year: 2023