JANUARY 2023 INTRODUCTORY COURSE IN PLAXIS 2D FOR GEOTECHNICAL ANALYSIS & DESIGN By : Mr. Yoang Sothoan Let’s Learn PLAXIS FUNDAMENTAL OF GEOTECHNICAL ENGINEERING LECTURE NOTE 07 INITIAL STRESS & STRENGTH REDUCTION METHOD Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Initial stresses represent the equilibrium state of the undisturbed soil and consist of: 1. Soil Weight 2. Loading history In PLAXIS, Two Possibilities exist: • K0 Procedure • Gravity loading 2 INTRODUCTORY COURSE IN PLAXIS 2D Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis K0 Procedure 1. Generation of initial stresses during input 2. Require coefficient for earth pressure at rest K0 3. Advantage : No displacements are generated, only stresses 4. Disadvantage : No equilibrium for inclined surface, geometry 3 INTRODUCTORY COURSE IN PLAXIS 2D Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Gravity loading 1. Calculation of initial stresses by weight loading 2. Advantage : Equilibrium satisfied in all cases 3. Disadvantage : Non-physical displacements are created. 4 INTRODUCTORY COURSE IN PLAXIS 2D Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Gravity loading Recommended cases where Gravity loading should be used 5 INTRODUCTORY COURSE IN PLAXIS 2D Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Gravity loading Procedure: 1- Initial Phase - Select K0 procedure, SMweight = 0 2- Phase 1 - Choose Plastic calculation, Total multipliers, - Set weight multiplier SMweight = 1, this will reset all initial stresses to zero. - Select Ignore undrained behavior to prevent generation of unrealistic excess pore pressures 3- Phase 2 - Select Reset displacements to zero to discard all displacements from raising the gravity 6 INTRODUCTORY COURSE IN PLAXIS 2D Initial stresses PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Special cases For complex initial situations, it may be needed to use several calculation phases to model the current situation before starting the actual project. 7 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Main advantages • Requires no a-priori assumptions on the failure mechanism • Critical surface is found automatically as slope failure occurs naturally through the zones due to insufficient shear strength to resist shear stresses • No requirement of assumptions on the inter-slice shear force distribution • Application to complex conditions • Information such as stresses, movements and pore pressures as for deformation analysis • Powerful approach 8 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Safety factor • PLAXIS = safety factor on soil resistance 9 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Safety Factor Analysis C-Phi reduction: - Reduction of strength parameters c and tan(f) until failure is reached. 10 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Safety Factor Analysis Calculation procedure: - Create a c/phi reduction phase - Accept the default increment for Msf=0.1 from the multiplier tab sheet - Calculate - Carefully examine SMsf vs. displacement curve in plaxis curves. Notes: • Select control point within (expected) failure body • Use sufficient number of load steps • Use a sufficient fine mesh • Limit the maximum structural forces by choosing elasto-plastic behavior for walls, anchors, and geotectiles 11 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Safety Factor Analysis Number of load steps control: 12 INTRODUCTORY COURSE IN PLAXIS 2D C-Phi Reduction Analysis in Plaxis PLAXIS 2D 07- Initial Stresses & C-Phi Reduction Analysis Safety Factor Analysis Failure mechanism inspection: 13 INTRODUCTORY COURSE IN PLAXIS 2D