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A new empirical analytical approach is developed for predicting the stress concentration profile around an in-situ tow break in filament-wound composites. A shear-lag analysis is firstly performed to solve for the perturbational axial…

Applied Physics · Physics 2024-05-21 Jiakun Liu , Stuart Leigh Phoenix

A boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents an extension of the methodology developed previously by the…

Computational Physics · Physics 2010-03-02 Ali R. Hadjesfandiari , Gary F. Dargush

In functionally graded materials (FGMs) fabricated using directed energy deposition (DED) additive manufacturing (AM), cracks may form due to interdendritic stress during solidification, the formation of intermetallics, or the buildup of…

Materials Science · Physics 2023-05-22 Zhening Yang , Hui Sun , Zi-Kui Liu , Allison M. Beese

Slope stability description through mechanical laws has important implication for Earth morphology understanding and risk assessment. Previous researches have showed that shear, tensile, and hybrid fractures can be observed experimentally…

Geophysics · Physics 2026-05-19 Julien Gargani

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

A perturbative approach is used to derive approximations of arbitrary order to estimate high percentiles of sums of positive independent random variables that exhibit heavy tails. Closed-form expressions for the successive approximations…

Applications · Statistics 2015-03-20 Lorenzo Hernández , Jorge Tejero , Alberto Suárez , Santiago Carrillo-Menéndez

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the…

Materials Science · Physics 2017-05-24 Marco Paggi , Jose Reinoso

The curved uncut chip thickness model is presented to predict the cutting forces for general uncut chip geometries. The cutting force is assumed to be distributed along a curved path on the rake face of the cutting tool, which makes the…

Dynamical Systems · Mathematics 2021-11-02 David Hajdu , Asier Astarloa , Zoltan Dombovari

We present a phase field modeling framework for hydrogen assisted cracking. The model builds upon a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy…

Numerical Analysis · Mathematics 2018-08-10 Emilio Martínez-Pañeda , Alireza Golahmar , Christian F. Niordson

In this paper, we establish higher-order derivative estimates for the Stokes equations in a three-dimensional domain containing two closely spaced rigid inclusions. We construct a sequence of auxiliary functions via an inductive process to…

Analysis of PDEs · Mathematics 2025-12-02 Hongjie Dong , Haigang Li , Huaijun Teng , Peihao Zhang

Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and…

Statistics and thermally activated dynamics of crack nucleation and propagation in a two-dimensional heterogeneous material containing quenched randomly distributed defects are studied theoretically. Using the generalized Griffith criterion…

Disordered Systems and Neural Networks · Physics 2010-10-28 J. Kierfeld , V. M. Vinokur

The aim of this study was to check how efficient can be smoothed finite element method (FEM) for solution of the linear fracture mechanics problems. Accuracy of stress intensity factor (SIF) computation were investigated using three types…

Computational Engineering, Finance, and Science · Computer Science 2019-03-28 I. V. Rokach

In this paper a class of higher order finite element methods for the discretization of surface Stokes equations is studied. These methods are based on an unfitted finite element approach in which standard Taylor-Hood spaces on an underlying…

Numerical Analysis · Mathematics 2019-09-19 Thomas Jankuhn , Arnold Reusken

The first and second mode stress intensity factors (SIFs) of a contact problem between a half-plane with an edge crack and an asymmetric tilted wedge were obtained using experimental method of Digital Image Correlation (DIC). In this…

Materials Science · Physics 2015-01-12 Seyedmeysam Khaleghian , Anahita Emami , Mohammad Yadegari , Nasser Soltani

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

Materials Science · Physics 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

Soft Condensed Matter · Physics 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

Hip fracture risk assessment is an important but challenging task. Quantitative CT-based patient specific finite element analysis (FEA) computes the force (fracture load) to break the proximal femur in a particular loading condition. It…

An innovative technique, called conversion, is introduced to model circumferential cracks in thin cylindrical shells. The semi-analytical finite element method is applied to investigate the modal deformation of the cylinder. An element…

Numerical Analysis · Mathematics 2021-07-21 Ali Alijani , Olga Barrera , Stephane P. A. Bordas