SUMMARYThis paper describes development of a displacement-pressure based finite volume formulation for modelling of large strain problems involving incompressible hyperelastic materials. The method is based on the solution of the integral conservation equations governing momentum balance in total Lagrangian description. The incompressibility constraint is enforced by employing the integral form of the mass conservation equation in deformed configurations of the body. A Mooney-Rivlin incompressible material model is used for material description. A collocated variable arrangement is used and the spatial domain is discretized using finite volumes of an arbitrary polyhedral shape. A segregated approach is employed to solve resulting set of coupled non-linear algebraic equations, utilizing a SIMPLE based algorithm for displacement-pressure coupling. Comparisons of numerical and analytical results show a very good agreement. For the limited range of cell topologies tested the developed method appears to be locking free.
The aim of this paper is to develop a goal programming nutrition optimization model to meet daily nutrients needs of the reference woman and the reference man subject to the available household budget. Objective function in the model is designed in a way to minimize deviations from the defined micronutrients and macronutrients needs as well as from the food cost. The nutrients needs are determined according the World Health Organization (WHO) standards and are incorporated in the model constraints. The sample in this research consists of 55 most frequently used food items as decision variables which are selected based on a survey of 50 households in the capital of Bosnia and Herzegovina. As the result, the solution of the model is optimal selection of the food intake, subject to minimize deviations from the defined goals.
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