On the modelling of dynamic problems for viscoelastic composites

Wagrowska, M.; Woźniak, Czesław

doi:10.1016/0020-7225(95)00137-9

Cited by 7 publications

(3 citation statements)

References 2 publications

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“…(14) into (5), on the basis of tolerance averaging approximation, we finally arrive the strain energy averaged over the cell D(n a ) hEi ¼ 1 2…”

Section: Model Equationsmentioning

confidence: 99%

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Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions

Rabenda

Michalak

2015

Composite Structures

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“…(14) into (5), on the basis of tolerance averaging approximation, we finally arrive the strain energy averaged over the cell D(n a ) hEi ¼ 1 2…”

Section: Model Equationsmentioning

confidence: 99%

“…Michalak [13] analyzed vibrations of thin plates with initial geometrical imperfections as a model of elastic wavy plates. In the paper of Wą growska and Wozniak [14] the dynamic modeling of visco-elastic composites was discussed. Wierzbicki and Woź niak [15] studied the dynamic behavior of honeycomb based composite solids.…”

Section: Introductionmentioning

confidence: 99%

Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions

Rabenda

Michalak

2015

Composite Structures

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“…On the other hand, an increase of ecological awareness has also caused bigger concentration on recycle building wastes and their possible usage in engineering constructions. In the field of pavement engineering, C&D recycling materials, like other composite materials [12], have been used in roads, embankments, pipes bedding and backfilling [13]. This trend has become global standard of treating crushed concrete and other construction materials [14,15].…”

Section: Introductionmentioning

confidence: 99%

Application of Bender Elements Technique in Testing of Anthropogenic Soil—Recycled Concrete Aggregate and Its Mixture with Rubber Chips

et al. 2017

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Featured Application: Recycled Concrete Aggregate can be a very good alternative material for natural aggregate. Using soil-rubber mixture as an engineering material may not only provide alternative means of reusing waste but also significantly change dynamic properties of soil.Abstract: This paper discusses the application of piezoceramic bender elements (BEs) for measurement of shear wave velocity in the time and frequency domain in a triaxial cell under different isotropic confinement. Different interpretation methods were used in the tests and their results were finally compared with each other. Two types of anthropogenic material were tested: pure Recycled Concrete Aggregate (RCA) and RCA-rubber chips mixtures (15% of rubber addition). Presented study is an attempt to describe dynamic properties, in terms of shear wave velocity (V S ), of the aforementioned anthropogenic material using the technique commonly applied for natural soil. Although some research is currently being carried out, in order to evaluate physical, chemical and mechanical properties of RCA and rubber-soil mixtures, still little is known of their dynamic properties. Hence, this work will provide the experimental results of shear wave velocity of RCA and its modified version. The results show that tires chips significantly decrease the V S values of modified RCA. They help to reduce the near field effect, but the received parameters are more incoherent. The V S values were found to be influenced by interpretation technique, mean effective stress and wave's propagation period. The maximum V S values were obtained mostly from the frequency domain method, although time domain analysis gives the results that are more coherent.

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Non‐local dispersive model for wave propagation in heterogeneous media: multi‐dimensional case

Fish

Chen

Nagai

2002

Numerical Meth Engineering

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SUMMARYThree non-dispersive models in multi-dimensions have been developed. The ÿrst model consists of a leading-order homogenized equation of motion subjected to the secularity constraints imposing uniform validity of asymptotic expansions. The second, non-local model, contains a fourth-order spatial derivative and thus requires C 1 continuous ÿnite element formulation. The third model, which is limited to the constant mass density and a macroscopically orthotropic heterogeneous medium, requires C 0 continuity only and its ÿnite element formulation is almost identical to the classical local approach with the exception of the mass matrix. The modiÿed mass matrix consists of the classical mass matrix (lumped or consistent) perturbed with a sti ness matrix whose constitutive matrix depends on the unit cell solution. Numerical results are presented to validate the present formulations.

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On the modelling of dynamic problems for viscoelastic composites

Cited by 7 publications

References 2 publications

Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions

Natural vibrations of prestressed thin functionally graded plates with dense system of ribs in two directions

Application of Bender Elements Technique in Testing of Anthropogenic Soil—Recycled Concrete Aggregate and Its Mixture with Rubber Chips

Non‐local dispersive model for wave propagation in heterogeneous media: multi‐dimensional case

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