Sökning: "Variational formulation"

Visar resultat 1 - 5 av 8 uppsatser innehållade orden Variational formulation.

  1. 1. Symmetry in a free boundary problem

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Seuri Basilio Kuosmanen; [2023]
    Nyckelord :Analysis of PDEs; Bernoulli-type boundary condition; free boundary problem; Laplacian operator; method of moving planes; symmetry; Analys av PDEs; Bernoulli-typ randvärde; frirandsproblem; Laplaceoperatorn; moving-plane metoden; symmetri;

    Sammanfattning : We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. LÄS MER

  3. 2. Fracture simulation with a hyperelastic phase field model

    Master-uppsats, KTH/Hållfasthetslära

    Författare :Adrien Fradet; [2023]
    Nyckelord :Fracture; Phase field modeling; Hyperelasticity; Brott; fasfält-methoden; hyperelasticite;

    Sammanfattning : The phase field method is a versatile tool to study crack initiation and propagation in systems with complex geometries. Based on a variational formulation of the equilibrium equations, the sharp crack topology is regularized by a crack with diffusive edges and the damage is described by a continuous phase field variable. LÄS MER

  4. 3. Reissner Mixed Variational Theorem for Ritz Sublaminate Generalized Unified Formulation

    Master-uppsats, KTH/Lättkonstruktioner

    Författare :Pier Antonio Esposito; [2021]
    Nyckelord :Mechanics; FEM; Ritz; Reissner; Stress; deformations; composite materials; Mekanik;

    Sammanfattning : This thesis is about the development of a new numerical method for the analysis of composite shells. The present work is based on Reissner Mixed Variational Theorem (RMVT), the Sublaminate Generalized Unified Formulation (S-GUF), and the Ritz approximation. LÄS MER

  5. 4. Crack growth based FEM with embedded discontinuities

    Master-uppsats, KTH/Hållfasthetslära

    Författare :David Lindblom; [2021]
    Nyckelord :PUFEM; Fracture Mechanics; J2-plasticity; FEAP; Strong discontinuity; Variational formulation; XFEM; PUFEM; Brottmekanik; J2-plasticitet; FEAP; Diskontinuitet; variationskalkyl;

    Sammanfattning : In recent years there have been a major developments in the computational mechanics community when it comes to modelling of fracture mechanics. There are now several well established numerical methods that are implemented in commercial programs such as: Phase Field Modelling, Enhanced Assumed Strain (EAS), Smeared Crack Methods, Extended Finite Element Method (XFEM) and Partition of Unity Finite Element Method (PUFEM). LÄS MER

  7. 5. Evaluation of probabilistic representations for modeling and understanding shape based on synthetic and real sensory data

    Master-uppsats, KTH/Skolan för datavetenskap och kommunikation (CSC)

    Författare :Gabriela Zarzar Gandler; [2017]
    Nyckelord :shape learning; surface reconstruction; 3D reconstruction; 3D object modeling; probabilistic 3D reconstruction; probabilistic surface learning; Gaussian Process; GP; Sparse Gaussian Process; Sparse GP; Gaussian Process Implicit Surface; GPIS; variational inference; perception learning; robotic perception;

    Sammanfattning : The advancements in robotic perception in the recent years have empowered robots to better execute tasks in various environments. The perception of objects in the robot work space significantly relies on how sensory data is represented. LÄS MER