Enraizamento de mini-estacas de jabuticabeiras, pitangueira, araçazeiro amarelo e sete capoteiro

The most native fruit trees are belonging to Myrtaceae family, which it have as main marketing potential their fruit. Despite the wide acceptance of the fruits of these native fruit cultura, the establishment of commercial orchards is still necessary, because if it prevails extraction in the forest. To start the cultivo in the orchard, the first point is on the mother plant choice, which should provide superior characteristics when compared to other genotypes. Then, it is necessary to choose the method to can produce satisfactory amount of seedlings and preferably without it to lose the mother plant characteristics. For this, it adopts the asexual thechniques, with option for grafting, cuttings and air layering. These techniques when tested with native fruits tree, it proved limiting in theses results, with this, it should to test other it to recommend its use, especially, those fruit native of higher potential as jabuticaba tree, pitanga tree, sete capote tree and araça amarelo tree. The aim of this study was to test the use of asexual propagation through mini-cuttings in these native fruit trees, according to the time of collection, the mini-cutting length and concentration of IBA, as well as, it to relate the results of rooting with tryptophan extracted at certain times. The work was carried out at Universidade Tecnológica Federal do Paraná – Câmpus Dois Vizinhos, Brazil. The samples were collected each two months. The mini-cutting were prepared with 6 or 8 cm, with a pair of leaves reduced to 25% of the original size. The mini-cuttings had their base immersed in liquid solution of indole-butyric acid (IBA) in the concentrations of 0, 3000 and 6000 mg L-1 and then were placed in tubes containing commercial substrate. The experimental design was completely randomized with factorial 2 x 3 x 6 (mini-cutting length x IBA concentration x time of collection), with four replications, it being each plot varied according to the amount of shoots obtained by period time. After 120 days, the rooting and callus formation (%), average number of roots per mini-cutting and the average length of the roots were evaluated. After 60 days of these evaluations, the survival of mini-cuttings rooted after transplant was evaluated. It was evaluated also the production of mini-cuttings of each size in each period time. At the end of the experiment it was evaluated the percentage of survival of mother plantlets. For analysis of tryptophan was used materials branches, leaves and twigs with leaves, taken from the materials used for the production of mini-cutting. It was recommended for hybrid jabuticaba tree the use mini-cutting with eight cm, treated with 6000 mg L-1 of IBA and collected in June. For jabuticaba tree of cabinho and araça amarelo tree the period for propagation by mini-cuttings should be in August, regardless of IBA concentration and length of the mini-cutting. In the jabuticaba tree sabara and sete capote tree is important to obtain more satisfactory results realized the collect in October or December, with the same independence of other levels tested in other factors. However, for sete capote tree should test other techniques to increase the efficiency of propagation. And with pitanga tree recommended to the collection in June, but with 6cm the application of 3000 mg L-1 of IBA and 8 cm with 6000 mg L-1 of IBA.

Aplicação da metodologia numérica “fast bounds crack” para uma estimativa eficiente da evolução do tamanho de trinca

A significant part of the life of a mechanical component occurs, the crack propagation stage in fatigue. Currently, it is had several mathematical models to describe the crack growth behavior. These models are classified into two categories in terms of stress range amplitude: constant and variable. In general, these propagation models are formulated as an initial value problem, and from this, the evolution curve of the crack is obtained by applying a numerical method. This dissertation presented the application of the methodology "Fast Bounds Crack" for the establishment of upper and lower bounds functions for model evolution of crack size. The performance of this methodology was evaluated by the relative deviation and computational times, in relation to approximate numerical solutions obtained by the Runge-Kutta method of 4th explicit order (RK4). Has been reached a maximum relative deviation of 5.92% and the computational time was, for examples solved, 130,000 times more higher than achieved by the method RK4. Was performed yet an Engineering application in order to obtain an approximate numerical solution, from the arithmetic mean of the upper and lower bounds obtained in the methodology applied in this work, when you don’t know the law of evolution. The maximum relative error found in this application was 2.08% which proves the efficiency of the methodology "Fast Bounds Crack".