Fracture and Fatigue Failure Simulation of Polymeric Material at Finite Deformation by the Phase-Field Method and the Ma
Failure prediction of polymeric material and structures is an important engineering task from experimental evaluation as well as from numerical simulation point of view. To investigate the fracture behavior and the fatigue failure of polymeric material, t
- PDF / 1,435,621 Bytes
- 30 Pages / 439.37 x 666.142 pts Page_size
- 68 Downloads / 217 Views
Fracture and Fatigue Failure Simulation of Polymeric Material at Finite Deformation by the Phase-Field Method and the Material Force Approach Bo Yin, Jad Khodor, and Michael Kaliske
Contents 1 Introduction 2 Constitutive Models of Polymeric Material 2.1 Kinematics and HELMHOLTZ Energy Density Function 2.2 Material Stress and Consistent Tangent Tensors 3 Fatigue Phase-Field Evolution 3.1 Phase-Field Topology 3.2 Fatigue Induced Degradation of Fracture Toughness G c 3.3 Governing Equations of the Coupled Problem 4 Fatigue Failure by the Material Force Method 4.1 Fundamentals of the Material Forces Approach 4.2 Fatigue Crack Propagation by Material Force Approach 5 Numerical Simulations 5.1 Tearing Failure of a Thin Polymeric Film 5.2 Tension Failure of a Double-Notch Specimen 5.3 Fatigue Failure of a Notched Cyclically Loaded Polymer by Phase-Field Modeling 5.4 Fatigue Analysis of a Notched Cyclically Loaded Specimen by the Material Force Method 6 Conclusions References
Abstract Failure prediction of polymeric material and structures is an important engineering task from experimental evaluation as well as from numerical simulation point of view. To investigate the fracture behavior and the fatigue failure of polymeric material, this work adopts two different numerical methodologies to B. Yin, J. Khodor, and M. Kaliske (*) Institute for Structural Analysis, TU Dresden, Dresden, Germany e-mail: [email protected]
B. Yin et al.
study crack initiation and propagation when the material is subjected to monotonic and cyclic fatigue loading. As a smeared crack approximation, the phase-field model does not depend on any explicit criterion to evolve cracks but yields good agreement compared to experimental validations. Another phenomenological approach to characterize crack growth based on a discrete approximation is the material force or configurational force approach, which largely depends on post-processing techniques. Both of them are developed according to the classical GRIFFITH criterion for brittle fracture. Nevertheless, regarding fatigue fracture phenomena, a fatigue induced degrading fracture toughness is assumed to evolve cracks, which basically captures the fatigue failure characteristics. This work implements these two methodologies, the phase-field approach and the material force method, into the Finite Element framework and simulates several demonstrative numerical examples, yielding good agreement by comparing to each other as well as to experimental results. Consequently, potential perspectives are proposed to close this paper. Keywords Fatigue failure · Fracture · Material force method · Polymeric material · Phase-field modeling
1 Introduction As one of the common failure mechanisms, reliable prediction of fracture evolution is of great importance and necessity for practical engineering applications. Especially, a number of polymers exhibit elastic nonlinearities according to experimental observations, which increase the complexities of fracture evaluation compared to classical linear elastic frac
Data Loading...
