"Finite element method, fabric bag, discretization, non-linearity, large deformation, Newton-Raphson approach"@en . . "1"^^ . . "IT - Italsk\u00E1 republika" . . "The Modeling of the 2D Continuum with Non-linearities" . "27230" . "The Modeling of the 2D Continuum with Non-linearities"@en . . "RIV/61989100:27230/11:86080090" . "RIV/61989100:27230/11:86080090!RIV12-MSM-27230___" . "The modeling of the textile fabric is an interesting area of mechanical problems. The subject of modeling can be a several types of fabric bags, either prismatic or flat. The reason for modeling is to investigate the deformation of the bag, the stress state in the material and the total volume of the full bag. The modeling bears two problems. First is the geometric non-linearity. Because the stiffness is consequent on the deformation, the mechanical behavior depends on the deformation. The solution must be performed in iterative cycles, during which the stiffness matrix is updated in every solution step with respect to the calculated deformation. The geometric non-linearity is one of the typical problems of non-linear static and the solvers have tools for iterative solution. The second problem is \u201Cthe first step problem\u201D. The stiffness is consequent on the curved shape of the fabric. In the first step, when the model of the fabric is flat, it gives the zero stiffness. For this reason the solution of the first step can not be found. The paper demonstrates a kind of trick for \u201Cthe first step solution\u201D."@en . . "6"^^ . "The modeling of the textile fabric is an interesting area of mechanical problems. The subject of modeling can be a several types of fabric bags, either prismatic or flat. The reason for modeling is to investigate the deformation of the bag, the stress state in the material and the total volume of the full bag. The modeling bears two problems. First is the geometric non-linearity. Because the stiffness is consequent on the deformation, the mechanical behavior depends on the deformation. The solution must be performed in iterative cycles, during which the stiffness matrix is updated in every solution step with respect to the calculated deformation. The geometric non-linearity is one of the typical problems of non-linear static and the solvers have tools for iterative solution. The second problem is \u201Cthe first step problem\u201D. The stiffness is consequent on the curved shape of the fabric. In the first step, when the model of the fabric is flat, it gives the zero stiffness. For this reason the solution of the first step can not be found. The paper demonstrates a kind of trick for \u201Cthe first step solution\u201D." . "5" . . . . . "5" . . "The Modeling of the 2D Continuum with Non-linearities"@en . . "1970-8742" . "Pode\u0161va, Ji\u0159\u00ED" . "213019" . . "International Review of Mechanical Engineering" . . "The Modeling of the 2D Continuum with Non-linearities" . . "Z(MSM6198910027)" . "1"^^ . . . "[8B0FCACF9ABD]" . . . .