3 A Projection Operator and the Discrete Problem -- 4 Numerical Tests -- References -- Strategy for Preventing Membrane Locking Through Reparametrization -- 1 Introduction -- 2 Curved Bernoulli Beam -- 2.1 Standard Displacement Formulation (u,w) -- 2.2 Mixed Displacement Formulation (u,w,uε) -- 3 Membrane Locking -- 4 Reparametrizations to Avoid Membrane Locking -- 4.1 First Reparametrization (u,uε) -- 4.2 Second Reparametrization (uε,w) -- 4.3 Third Reparametrization (uε,Aw) -- 4.4 Mechanical Interpretation of uε -- 5 Numerical Example -- 6 Conclusions -- References -- Model-Free Fracture Mechanics and Fatigue -- 1 Introduction -- 2 Classical Formulation -- 3 Data-Driven Approach -- 3.1 Rate-Independent Fracture -- 3.2 Rate-Dependent Fracture and Fatigue -- 4 Summary and Outlook -- References -- Node Based Non-invasive Form Finding Revisited-The Challenge of Remeshing -- 1 Introduction -- 2 A Brief Outline of Non-invasive Form Finding -- 2.1 The Quasi-Newton Update Iteration Step -- 2.2 Non-invasive Optimization -- 3 Mesh Transformation for Dealing with Remeshing -- 4 Academic Example -- 5 Summary -- References -- Micropolar Modelling of Periodic Cauchy Materials Based on Asymptotic Homogenization -- 1 Introduction -- 2 Microscopic and Macroscopic Governing Equations -- 3 Micro-Macro Kinematic Relations and Asymptotic Expansion of the Microscopic Governing Equations -- 4 Upscaling Relations and Third Order Polynomial Kinematic Map -- 5 Generalized Macro-Homogeneity Condition -- 6 Benchmark Test -- 7 Conclusions -- References -- Experimental and Numerical Investigation of Granules as Crash-Absorber in Ship Building -- 1 Introduction -- 2 Experimental Testing -- 3 Numerical Simulation -- 4 Conclusions -- References -- On Hydraulic Fracturing in Fully and Partially Saturated Brittle Porous Material -- 1 Introduction -- 2 Governing Equations. |