"The article proposes an improvement over the widely used sequentially linear solution procedure often utilized for fracture simulations. In the classical secant version of this method, a partial solution of a step is scaled to reach a stress limit in exactly one element and the mechanical properties of the critical element are reduced. General non-proportional loading (replaced here by sequence of loading vectors) is generally unfeasible due to avalanches of ruptures caused by stress redistribution. Because only one loading vector can be scaled at a time, all others have to remain constant during the step. However, the constant load vectors do not allow proper determination of the critical element. A modified procedure based on redistribution of released stresses is developed here. It preserves the linearity of each step. After rupture of the critical element, a sequentially linear redistribution process of stress release takes place until a static equilibrium state is reached. During the redistributi"@en . "3"^^ . . "Non-Proportional Loading, Sequentially Linear Solution, Brittlw Elements, Local Instabilities"@en . . . "Eli\u00E1\u0161, Jan" . "3"^^ . "Sequentially linear solution procedure for non-proportional loading" . . . . "Sequentially linear solution procedure for non-proportional loading"@en . "Sequentially linear solution procedure for non-proportional loading" . "RIV/00216305:26110/11:PU96413!RIV12-GA0-26110___" . . . "Frant\u00EDk, Petr" . . . . "Sequentially linear solution procedure for non-proportional loading"@en . . "RIV/00216305:26110/11:PU96413" . . . "[83E8E3C769B3]" . . . . . "228931" . "The article proposes an improvement over the widely used sequentially linear solution procedure often utilized for fracture simulations. In the classical secant version of this method, a partial solution of a step is scaled to reach a stress limit in exactly one element and the mechanical properties of the critical element are reduced. General non-proportional loading (replaced here by sequence of loading vectors) is generally unfeasible due to avalanches of ruptures caused by stress redistribution. Because only one loading vector can be scaled at a time, all others have to remain constant during the step. However, the constant load vectors do not allow proper determination of the critical element. A modified procedure based on redistribution of released stresses is developed here. It preserves the linearity of each step. After rupture of the critical element, a sequentially linear redistribution process of stress release takes place until a static equilibrium state is reached. During the redistributi" . "26110" . "Vo\u0159echovsk\u00FD, Miroslav" . "P(GAP105/10/1156), P(GD103/09/H085)" . . .