I n recent years, growing interest on nonlinear wave propagation in liquids has been extensively developed based on the reduct,ive Taniuti-Wei's method [I] which enables us to obtain the Korteweg-de Vries equation for surface waves [2--81, long internal gravity waves [9], propagation of ion acoustic waves in plasma [lo], the nonlinear Schrodinger equation for propagation of ions in plasma [ 111, deep water waves [12], depending on whether the system is weakly or strongly dispersive, and Burgers equation for waves in liquid filled tube [13] in the case of energy dissipation. Consideration of varying boundary conditions a t the bottom and the free surface of water usually leads to more complicated nonlinear equations such as t,he intermediate long wave equation [14-161 and the Benjamin-Ono equation [17-201.Now, from the point of view of the above mentioned model equations, one might be interested to examine a long wave propagation in one-dimensional, weak nonlinear
The goal of the work was to describe properties of asphalt-cement concrete (ACC) with reclaimed asphalt pavement (RAP), Portland cement, sand, and rubber powder (RP), as a material to base courses of road pavements. The mixtures were designed with the RAP in the amount of 75, 80, and 85% (m/m) and chosen cement-sand-rubber (CSR) mortar. Three CSR mortars were composed with cement CEM 42.5 R in the amount 29% (m/m); washed sand 0/2 mm in the amount 29, 35, or 41%; rubber powder of granulation 0/1 mm in the amount of 18, 24, or 29% (m/m); and water in the amount 12% fulfilled w/c = 0.4. The optimum moisture content of the selected ACC with CSR mortar determined in the modified Proctor compaction test was approximately 6% and maximum dry density 2.000 g/cm3. Laboratory tests of indirect tensile strength, stiffness modulus (IT-CY and 4PB-PR), water resistance, fatigue life, and complex modulus (E*) at different temperatures were conducted and analyzed. The test results are presented, among others, in the form: the isotherm of complex modulus, Black curve, the master curve, and the Cole-Cole plot.
MCE mixtures fortified with fine rubber were the subject of research in laboratory tests in Lublin University of Technology. As a basic literature review shows, an amount of fine rubber in mixtures with cement in MCEM should be 2%, 4% and 6% of the aggregate. The mixtures were designed planned and prepared as samples for tests assessing the fulfillment of the requirements contained in the Manual [9]. Analysis of the results allows to assess the usefulness of fine rubber in MCE mixtures and is a basis for further detailed studies that are aimed at setting new quantitative requirements, going beyond the requirements included in the Manual.
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