Polymer Engineering Science and Viscoelasticity

Brinson, H. F.; Brinson, L. Catherine

doi:10.1007/978-1-4899-7485-3

Cited by 226 publications

(241 citation statements)

References 98 publications

(171 reference statements)

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“…Its mechanical response can be characterized by the timedependent bulk and shear moduli, K m (t) and G m (t), respectively. As it is discussed later, it is possible to avoid time domain analysis by utilizing the so-called dynamic correspondence principle (Fung, 1965;Hashin, 1983;Brinson and Brinson, 2008). The matrix phase may be reinforced by fillers of calcium carbonate and glass.…”

Section: Involved Constituent Materials and Their Propertiesmentioning

confidence: 99%

“…In order to capture properly the material's response at a large range of frequencies, the modulus is often written in terms of a Prony series expanded form (Brinson and Brinson, 2008)…”

Section: Theoretical Background For Viscoelastic Materialsmentioning

confidence: 99%

“…The constitutive response (6) can be represented in a linearized form by taking advantage of the half-sided Fourier or Laplace-Carson transform (Fung, 1965;Hashin, 1983;Matzenmiller and Gerlach, 2004;Brinson and Brinson, 2008). …”

Section: Dynamic Correspondence Principlementioning

confidence: 99%

“…The storage modulus is a measure of the energy stored and recovered by a viscoelastic material per cycle of sinusoidal deformation, whereas the loss moduli is a measure of the energy dissipated as heat for a similar cycle (Brinson and Brinson, 2008). Both storage and loss moduli are real quantities.…”

Section: Dynamic Correspondence Principlementioning

confidence: 99%

“…Taking the half-sided Fourier transform of equations (9) 3,4 and in view of equations (14) one obtains (Brinson and Brinson, 2008)…”

Section: Dynamic Correspondence Principlementioning

confidence: 99%

See 4 more Smart Citations

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Anagnostou

Chatzigeorgiou

Chemisky

et al. 2018

Composites Part B: Engineering

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe aim of this paper is to study, through a multiscale analysis, the viscoelastic behavior of glass reinforced sheet molding compound (SMC) composites and SMC-hybrid composites mixing two types of bundle reinforcement: glass and carbon fibers. SMC exhibit more than two distinct characteristic length scales, so that a sequence of scale transitions is required to obtain the overall behavior of the composite. An analytical procedure is used consisting of properly selected well-established micromechanical methods like the Mori-Tanaka (MTM) and the composite cylinders (CCM) accounting for each scale transition. After selecting a representative volume element (RVE) for each scale, the material response of any given length scale is described on the basis of the homogenized behavior of the next finer one. This hierarchical approach is appropriately extended to the viscoelastic domain to account for the time dependent overall response of the SMC composite material. The anisotropic damage has been introduced through a micromechanical model considering matrix penny-shape microcrack density inside bundles. The capabilities of the hierarchical modeling are illustrated with various parametric studies and simulation of experimental data for glass-based SMC composites.

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Section: Involved Constituent Materials and Their Propertiesmentioning

confidence: 99%

“…In order to capture properly the material's response at a large range of frequencies, the modulus is often written in terms of a Prony series expanded form (Brinson and Brinson, 2008)…”

Section: Theoretical Background For Viscoelastic Materialsmentioning

confidence: 99%