An analytical solution for forging processes using an Elemental upper bound method was given in this paper. The analysis was carried out by dividing the cross section into some standard pre-defined elements. For each of these elements the velocity field was defined. When the cross section was divided into the elements, using the cinematically admissible velocity field of each element the boundary conditions the general cinematically admissible velocity field for the deforming region was completely defined. Using the general cinematically admissible velocity field upper bound solutions were arrived at for both plane strain and ax symmetric forging processes. For the case of plane strain forging processes rectangular and trapezoidal elements were employed. Ring type elements of triangular and square cross sections were used for the analysis of ax symmetric forging problems. In this work the velocity fields were improved by modifying the previous work equations. Based on the above theory a computer program was written with the use of which simulation of both plane strain and ax symmetric forgings were presented. The influence of different process parameters such as friction factor, flash and geometrical dimensions were considered. The results obtained from this work were compared with previous work and improvements were observed.

The maritime transport industry, often referred to as the backbone of global trade, plays a pivotal role in facilitating the movement of goods across international markets. Despite its importance, the industry is plagued by several persistent challenges that hinder its operational efficiency and sustainability. Among the most critical are the imBalance of empty containers, environmental degradation due to emissions and fuel consumption, and inefficiencies in port operations. These issues collectively pose serious implications for cost management, environmental impact, and service reliability. In an effort to address these concerns, this paper proposes a novel multi-objective mathematical model that seeks to optimize three primary goals in an integrated manner: maximizing economic profitability, minimizing the imBalance of empty containers, and enhancing environmental sustainability. The model is designed to reflect real-world shipping dynamics, incorporating the interactions between liner and feeder ships, multiple sea routes, and various types of ports, including hub, feeder, and satellite ports. To demonstrate the practical applicability and robustness of the model, a case study is conducted on a representative shipping network involving selected ports in the Middle East and East Asia. The model is implemented using the General Algebraic Modeling System (GAMS), and its outputs are analyzed across three distinct time periods. Results indicate a significant reduction in the number of empty containers, along with concurrent improvements in both cost-effectiveness and environmental performance indicators. Additionally, a comprehensive sensitivity analysis underscores the pivotal role of ship capacity in influencing system outcomes. However, it also reveals that improvements in a single dimension are insufficient for holistic system optimization. Effective and sustainable management of maritime transport requires a multidimensional strategy that Balances economic, environmental, and operational factors. The proposed model offers valuable insights for decision-makers aiming to improve the resilience and sustainability of global shipping networks.

To date, no experimental investigations utilizing petrographic, XRF, ICP, or TL methodologies have been undertaken for the analysis of Sasanian and Early Islamic pottery in Western Iran. Consequently, the findings of this study are anticipated to contribute valuable insights into the pottery production processes prevalent during this historical period in Western Iran. To achieve this objective, eight pottery specimens retrieved from the excavations of the Jahangir monument were submitted to the Research Institute of Cultural Heritage and the Geological Survey for petrographic analysis, while two samples each were designated for XRF, ICP, and thermoluminescence assessments. The primary research inquiries pertain to elucidating the composition and structure of the pottery, determining the firing intensity in the kiln, and discerning whether the pottery is of indigenous or imported origin. The outcomes of the experiments indicate the presence of three predominant compounds—quartz, iron oxide, and calcite—in the majority of samples procured from the Jahangir monument. Nonetheless, certain pottery specimens incorporate mica particles or chert stone in the clay composition. With few exceptions, the pottery is ascertained to be domestically manufactured, denoting its local provenance within the region. The texture of the selected pottery samples is characterized as silty, porphyritic, and inhomogeneously silty. The identification of calcite in the clay of all Jahangir pottery suggests a maximum kiln temperature of 800°C during the firing process. Furthermore, notwithstanding a limited number of exceptions, the scarcity of soil variations in the majority of pottery specimens implies a shared geographical origin