We present a new set of models for intermediate mass AGB stars (4.0, 5.0 and, 6.0 M ⊙ ) at different metallicities (-2.15≤[Fe/H]≤+0.15). This integrates the existing set of models for low mass AGB stars (1.3≤M/M ⊙ ≤3.0) already included in the FRUITY database. We describe the physical and chemical evolution of the computed models from the Main Sequence up to the end of the AGB phase. Due to less efficient third dredge up episodes, models with large core masses show modest surface enhancements. The latter is due to the fact that the interpulse phases are short and, then, Thermal Pulses are weak. Moreover, the high temperature at the base of the convective envelope prevents it to deeply penetrate the radiative underlying layers. Depending on the initial stellar mass, the heavy elements nucleosynthesis is dominated by different neutron sources. In particular, the s-process distributions of the more massive models are dominated by the 22 Ne(α,n) 25 Mg reaction, which is efficiently activated during Thermal Pulses. At low metallicities, our models undergo hot bottom burning and hot third dredge up. We compare our theoretical final core masses to available white dwarf observations. Moreover, we quantify the weight that intermediate mass models have on the carbon stars luminosity function. Finally, we present the upgrade of the FRUITY web interface, now also including the physical quantities of the TP-AGB phase of all the models included in the database (ph-FRUITY).Subject headings: Stars: AGB and post-AGB -Physical data and processes: Nuclear reactions, nucleosynthesis, abundances found by varying the metallicity and the initial stellar mass. In fact, the three s-process peaks 2 receive different contributions depending on the physical environmental conditions (radiative or convective burning) and on the neutron-to-seed ratio (which is related to the metallicity).In this paper we also illustrate a new web interface (ph-FRUITY), to access tables containing the evolution of the most relevant physical quantities of our models. This paper is structured as follows. In §2 we describe the main features of our stellar evolutionary code, focusing on the most recent upgrades. In §3 we highlight the evolutionary phases prior to the AGB, which is analyzed in §4. In §5 we show the potentiality of our new web ph-FRUITY interface. The nucleosynthesis of all FRUITY models is discussed in detail in §6. Finally, in §7we report the discussion and our conclusions.
The modelsAs already outlined, models presented in this paper (4.0-5.0-6.0 M ⊙ ) integrate the already existing set available on the FRUITY database (Cristallo et al. 2011), currently hosting Low Mass Stars AGB models (hereafter LMS-AGB; 1.3-1.5-2.0-2.5-3.0) with different initial metallicities (-2.15≤[Fe/H]≤+0.15). We add a further metallicity (Z = 0.002, corresponding to [Fe/H]=-0.85)in order to better sample the peak in the lead production (see below). In Table 1 we report all the models included in the FRUITY database (in bold the models added with this work), by specifying...