Proceedings of the 5th International Conference on Numerical Modelling in Engineering : Volume 2: Numerical Modelling in Mechanical and Materials Engineering, NME 2022, 23–24 August, Ghent University, Belgium

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 5th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on August 23–24, 2022. The overall objective of the conference was to bring together international scientists and engineers in academia and industry from fields related to advanced numerical techniques, such as the finite element method (FEM), boundary element method (BEM), isogeometric analysis (IGA), and their applications to a wide range of engineering disciplines. This book addresses numerical simulations of various mechanical and materials engineering industrial applications such as aerospace applications, acoustic analysis, bio-mechanical applications, contact problems and wear, heat transfer analysis, vibration and dynamics, transient analysis, nonlinear analysis, composite materials, polymers, metal alloys, fracture mechanics, fatigue of materials, creep, mechanical behavior, micro-structure, phase transformation, and crystal plasticity. The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the numerical modeling in mechanical engineering topics. Organising Committee 6 Preface 8 Contents 10 1 Optimization of Ship Energy Efficiency Considering Navigational Environment and Safety 12 1.1 Introduction 12 1.2 Methods 15 1.2.1 Formula to Estimate the Operational Carbon Intensity 15 1.2.2 Optimization of Ship Energy Efficiency Considering Navigational Environment and Safety 17 1.3 Results and Discussion 21 1.4 Conclusions 24 References 25 2 Study on the Consistency of a Phase Field Modeling Method and the Determination of Crack Width 27 2.1 Introduction 28 2.2 A New Phase-Field Modeling Method 28 2.2.1 Governing Equation 28 2.2.2 The Consistency of the Governing Equation 29 2.3 Thermodynamic Consistency 30 2.3.1 A Uniaxial Tensile Fracture Test 30 2.3.2 A Mixed-Mode Fracture Test 31 2.4 Phase-Field Crack Width 32 2.4.1 A Level-Set Based Calculation Method 32 2.4.2 Case Study 34 2.5 Conclusion 35 References 36 3 Numerical Simulation of Shear Wave Propagation Through Jointed Rocks 37 3.1 Introduction 38 3.2 Laboratory Experiments Using Split Shear Plates 39 3.3 Numerical Simulation Using 3-Dimensional Distinct Element Code 43 3.4 Results and Discussions 44 3.4.1 Validation of the Numerical Model 44 3.4.2 Calculation of Energy Coefficients Using the Numerical Simulation 45 3.4.3 Parametric Study Using Numerical Simulations 45 3.5 Conclusions 49 References 49 4 A Quasi-static Computational Model for Fracture in Multidomain Structures with Inclusions 51 4.1 Introduction 52 4.2 Description of the Model 53 4.3 Numerical Solution and Computer Implementation 56 4.3.1 Time Discretisation 57 4.3.2 Remarks on FEM and the Minimisation Algorithms 58 4.4 Examples 59 4.4.1 One Inclusion 59 4.4.2 Three Inclusions 64 4.5 Conclusions 67 References 67 5 Updated Lagrangian Curvilinear Beam Element for 2D Large Displacement Analysis 70 5.1 Introduction 70 5.2 Fundamentals 73 5.2.1 Equilibrium 73 5.2.2 Section’s Stiffness Response 75 5.2.3 Compatibility Equations and Their Integration 76 5.3 Finite Element Formulation: The Section-Slices Idea 78 5.4 Numerical Validations 82 5.5 Conclusion 86 References 86 6 Modelling and Simulation of Micro-electro-Mechanical Systems for Energy Harvesting of Random Mechanical Vibrations 90 6.1 Introduction 90 6.2 Nonlinear Piezoelectric Energy Harvesting: Modelling 92 6.3 Stochastic Differential Equations 95 6.4 Nonlinear Piezoelectric Energy Harvesting: Stochastic Model Analysis 96 6.5 Conclusions 99 References 100 7 Revisiting a Model that Describes the Process of the Vocal Oscillation During Phonation, a Numerical Approach 102 7.1 Introduction 102 7.2 Some Prelimimaries 103 7.2.1 Method of Steps 103 7.2.2 Some History 104 7.3 The Problem 105 7.4 Numerical Scheme 107 7.5 Numerical Results 108 7.6 Conclusion 108 References 109 8 Shear Stress and Temperature Analysis of Inconel 718 During the Backward Flow Forming Process Using the Finite Element Method 112 8.1 Introduction 113 8.2 Material and Finite Element Procedure 114 8.2.1 Material Definition 114 8.2.2 Process Principle and Finite Element Method 114 8.2.3 Heat Transfer Principle 117 8.3 Results and Discussions 117 8.4 Conclusion and Future Works 119 References 120 9 Mechanical Design and Optimization of Large-Scale Parabolic Trough Solar Collectors for Industrial Applications 122 9.1 Introduction 123 9.2 Trough Structural Design Aspects 124 9.3 Model Preparation 124 9.3.1 Mesh Sizing 125 9.3.2 Static Configuration 125 9.3.3 The Optimization Process 125 9.4 Results and Discussion 126 9.4.1 The Optimization of the First Scenario 126 9.4.2 The Optimization of the Second Scenario 128 9.4.3 Optimum Backbone Dimensions 129 9.4.4 Shape of Sidewalls 129 9.4.5 The Effect of the Rim Angle 129 9.5 Conclusions 130 References 131 10 Finite Element Modeling of Ultrasonic Nanocrystalline Surface Modification Process of Alloy 718 133 10.1 Introduction 134 10.2 Finite Element Simulations 136 10.2.1 Model Description 136 10.2.2 Constitutive Model 137 10.2.3 Loading Condition 138 10.3 Results and Discussion 140 10.3.1 Model Validation 140 10.3.2 Case Study 140 10.4 Conclusions 141 References 142