For development of new materials and improvement of material properties today simulation of the production processes is essential. The understanding of the processes' mechanics and thermodynamics give the ability of tuning the process toward property improvement and efficiency. Flat rolling is one of the main processes used for production of flat metal semiproducts such as sheets, strips, and plates. In simulation of flat rolling today, two main approaches are used. The first is the elementary theory of plasticity, also known as strip or slab method, which was the first theoretical approach to describe the conditions within the roll gap. The second one is the finite element method, which offers a general approach for complex problems.The elementary theory was established by von Kármán. [1] Well-known contributors are Ford et al., [2][3][4] Orowan, [5] and Alexander. [6] In recent years, only few new contributions to this topic were published, for example, Kim et al., [7] Schmidtchen and Kawalla, [8] and Freshwater. [9,10] This approach's main benefit is the fast computation speed due to 1D differential equation formulation.The finite element theory is actively developed since the 1980s, for example, by Hwu and Lenard, [11] Jamal et al., [12] Jiang and Tieu, [13] Rout et al., [14] and Kainz et al. [15] . It provides a general approach for complex problems in two or three dimensions and offers the high accuracy of the simulation results. The main disadvantage is the high computational effort in solving the equation systems, increasing rapidly with nonlinearity of the base equations and resolution of the problem space. Therefore, this method has grown along with the development of high-performance computer systems in the past decades. However, fast methods are needed for use in control systems or production scheduling. Some authors try to combine the slab method with partial finite element solutions to achieve a decrease in computation time, for example, Kim et al. [7] . Another approach was shown by Schmidtchen and Kawalla [8] in extending the elementary theory by dividing the strip element into a number of discrete layers. This turns the 1D resolution of the elementary theory into a 2D one. Nevertheless, this model only requires 1D differential equation solving, which can be done fast and easy with common numerical methods. Due to this 1D formulation, it can be easily coupled with microstructure and precipitation models. The model is currently used in industry for online-simulation and controlling of direct input steel plants, including microstructure and precipitation simulation. Due to the layering, it is suitable for inhomogeneity determined processes, such as block rolling and direct input, were conventional slab method fails. However, it is only able to describe the layers as in plastic or rigid state. This work has the aim to extend it by elastic-plastic material behavior. The influence of the elastic behavior should be investigated in comparison with the rigid-plastic layer model as well as to FEM simulatio...