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When calculating residual strain via neutron or X-ray diffraction, uncertainties propagated from the peak fit are often inadequate to describe the true scatter of measurements about a singular strain state, such as one that should describe…

Materials Science · Physics 2026-05-07 Cole Franz , Michael B. Prime , Jeffrey Bunn , Andrew Payzant , Katharine Page

X-ray diffraction is ideal for probing sub-surface state during complex or rapid thermomechanical loading of crystalline materials. However, challenges arise as the size of diffraction volumes increases due to spatial broadening and…

Materials Science · Physics 2025-01-10 Rachel E. Lim , Shun-Li Shang , Chihpin Chuang , Thien Q. Phan , Zi-Kui Liu , Darren C. Pagan

Here we analyze a three-dimensional distribution of crystallographic slip measured in-situ during the uniaxial deformation of hexagonal Ti-7Al. The slip field is reconstructed using a novel methodology that combines spatially resolved…

Materials Science · Physics 2021-04-27 Darren C. Pagan , Kelly E. Nygren , Matthew P. Miller

To leverage advancements in machine learning for metallic materials design and property prediction, it is crucial to develop a data-reduced representation of metal microstructures that surpasses the limitations of current physics-based…

Understanding mechanical properties of materials requires not only complete determination of the three-dimensional response at a local scale, but also knowledge of the mode or the mechanism by which deformation takes place. Probing…

Materials Science · Physics 2010-04-28 David Bronfenbrenner , Matthew Bibee , Apurva Mehta

A finite element framework is presented for the analysis of crack-tip phenomena in an elastic material containing a single edge crack under compressive loading. The mechanical response of the material is modeled by a nonlinear constitutive…

Numerical Analysis · Mathematics 2025-08-12 Dambaru Bhatta , Saugata Ghosh , S. M. Mallikarjunaiah

Understanding crack tip - dislocation interaction is critical for improving the fracture resistance of semi-brittle materials like room-temperature plastically deformable ceramics. Here, we use a modified double cleavage drilled compression…

Materials Science · Physics 2025-10-17 Oliver Preuß , Zhangtao Li , Enrico Bruder , Philippe Carrez , Yinan Cui , Jürgen Rödel , Xufei Fang

Understanding the local fracture resistance of microstructural features. such as brittle inclusions, coatings, and interfaces at the microscale under complex loading conditions is critical for microstructure-informed design of materials. In…

Digital image correlation of laser-ablated platinum nanoparticles on the surface of a polycrystalline metal (nickel-based superalloy Rene 88DT) was used to obtain the local strain behavior from an in situ scanning electron microscope…

Materials Science · Physics 2013-09-02 M. A. Tschopp , B. B. Bartha , W. J. Porter , P. T. Murray , S. B. Fairchild

Next-generation, atomically thin devices require in-plane, one-dimensional heterojunctions to electrically connect different two-dimensional (2D) materials. However, the lattice mismatch between most 2D materials leads to unavoidable…

A mathematical model for crack-tip fields is proposed in this paper for the response of a three-dimensional (3-D) porous elastic solid whose material moduli are dependent on the density. Such a description wherein the generalized Lam\`e…

Numerical Analysis · Mathematics 2025-03-11 Kun Gou , S. M. Mallikarjunaiah

The appraisal of metallic materials requires application of advanced characterisation techniques. In this paper, the use has been made of Scanning Electron Microscopy, Transmission Electron Microscopy, X-ray diffraction (XRD) and Energy…

Materials Science · Physics 2016-10-27 David N. Githinji

Cracks in soft materials exhibit diverse dynamic patterns, involving straight, oscillation, branching, and supershear fracture. Here, we successfully reproduce these crack morphologies in a two-dimensional pre-strained fracture scenario and…

Soft Condensed Matter · Physics 2023-08-25 Fucheng Tian , Jian Ping Gong

The mechanical response of third-generation advanced high-strength steels is governed by phase transformations at the nanoscale, yet the coupled evolution of chemistry and crystallography remains poorly resolved. Here we apply a correlative…

Finite element analysis of stress about a blunt crack tip, emphasizing finite strain and phenomenological and mechanism-based strain gradient plasticity (SGP) formulations, is integrated with electrochemical assessment of occluded-crack tip…

Materials Science · Physics 2017-11-17 Emilio Martínez-Pañeda , Christian F. Niordson , Richard P. Gangloff

This work models brittle fracture using a linearized surface-substrate theory in which the crack faces possess surface stresses derived from a surface strain-gradient elastic energy. The model incorporates surface stretching, curvature, and…

Mathematical Physics · Physics 2026-01-09 C. Rodriguez , A. Zemlyanova

While cracks in isotropic homogeneous materials propagate straight, perpendicularly to the tensile axis, cracks in natural and synthetic composites deflect from a straight path, often increasing the toughness of the material. Here we…

Materials Science · Physics 2020-08-05 Ataollah Mesgarnejad , Chunzhou Pan , Randall M. Erb , Sandra J. Shefelbine , Alain Karma

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

Soft Condensed Matter · Physics 2017-11-21 Daniel Bonamy

Strain localization is an instability phenomenon occurring in deformable solid materials which undergo dissipative deformation mechanisms. Such instability is characterized by the localization of the displacement or velocity fields in a…

Geophysics · Physics 2021-04-21 Antoine B. Jacquey , Hadrien Rattez , Manolis Veveakis

In this paper the problem of a plane strain hydraulic fracture propagating in an elasto-plastic material is analyzed. A new stress redistribution model for the proximity of the fracture tip is formulated and a resulting plasticity-dependent…

Materials Science · Physics 2022-01-13 Michal Wrobel , Panos Papanastasiou , Daniel Peck