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A comparison is made between the nonlinear rheological response of bulk metallic glass formers and of colloidal dispersions. Stress-strain curves measured after switch-on of constant deformation rates are analyzed quantitatively using a…

Recently, a widely applicable system of hyperbolic partial differential equations has been derived that enables the deterministic computation of a full heterogeneous stress field from a measured deformation field, for example, from a strain…

Materials Science · Physics 2022-09-29 Benjamin C. Cameron , C. Cem Tasan

The spatial variability of stress fields resulting from polycrystalline aggregate calculations involving random grain geometry and crystal orientations is investigated. A periodogram-based method is proposed to identify the properties of…

Applications · Statistics 2015-01-19 Bruno Sudret , Hung Xuan Dang , Marc Berveiller , Asmahana Zeghadi , Thierry Yalamas

Many morphogenetic processes involve mechanical rearrangement of epithelial tissues that is driven by precisely regulated cytoskeletal forces and cell adhesion. The mechanical state of the cell and intercellular adhesion are not only the…

Cell Behavior · Quantitative Biology 2015-06-03 Kevin K. Chiou , Lars Hufnagel , Boris I. Shraiman

We present a complete analytical solution for the stress field inside a homogeneous, inside a homogeneous, linearly elastic solid sphere subjected to a concentrated normal load applied on its surface. Starting from the three-dimensional…

Classical Physics · Physics 2026-05-06 Yosuke Mori , Kiwamu Yoshii , Satoshi Takada

The distribution of local residual stresses (threshold to instability) that controls the statistical properties of plastic flow in athermal amorphous solids is examined with an atomistic simulation technique. For quiescent configurations,…

Disordered Systems and Neural Networks · Physics 2020-07-02 Céline Ruscher , Jörg Rottler

Understanding stress-strain relationships in arteries is important for fundamental investigations in mechanobiology. Here we demonstrate the essential role of chemoelasticity in determining the mechanical properties of arterial tissues.…

Based on previous work for the static problem, in this paper we first derive one form of dynamic finite-strain shell equations for incompressible hyperelastic materials that involve three shell constitutive relations. In order to single out…

Computational Engineering, Finance, and Science · Computer Science 2020-12-16 Xiang Yu , Yibin Fu , Hui-Hui Dai

The stressed state of flattened thin elastic sheet, as well as that of translationally symmetric 3D solids, are effectively 2D problems. This paper study equilibrium state-of-stress in metrically-incompatible 2D elastic materials. The…

Soft Condensed Matter · Physics 2015-10-13 Michael Moshe , Eran Sharon , Raz Kupferman

When glassy materials are rapidly quenched from the liquid to the solid state upon flow cessation or cooling, they solidify in an out-of-equilibrium configuration, retaining the memory of the processing conditions for very long times. This…

Soft Condensed Matter · Physics 2025-09-17 Paolo Edera , Minaspi Bantawa , Stefano Aime , Roger T Bonnecaze , Michel Cloitre

Residual stress and plastic strain in additive manufactured materials can exhibit significant microscopic variation at the powder scale, profoundly influencing the overall properties of printed components. This variation depends on…

Materials Science · Physics 2024-06-19 Yangyiwei Yang , Somnath Bharech , Nick Finger , Xiandong Zhou , Joerg Schroeder , Bai-Xiang Xu

The dynamic fragmentation of residually stressed solids involves a complex interplay between stored elastic energy, stress wave propagation, and crack instabilities. In this work, we investigate the fracture mechanics of chemically…

Soft Condensed Matter · Physics 2026-02-25 Vineet Dawara , Koushik Viswanathan

The present study proposes a novel full-field extensional rheo-optical technique to investigate the relationship between the rheological properties and internal structural deformation of complex fluids under uniaxial extensional flow.…

Fluid Dynamics · Physics 2025-07-22 Masakazu Muto , Naoki Kako , Tatsuya Yoshino , Shinji Tamano

Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information about the average stress and strain fields, energy,…

Analysis of PDEs · Mathematics 2015-05-30 Graeme Walter Milton , Loc Hoang Nguyen

We study numerically the stress distribution on the interface between two thick elastic media bounded by interfaces that include spatially correlated asperities. The interface roughness is described using the self-affine topography that is…

Condensed Matter · Physics 2015-06-24 Alex Hansen , Jean Schmittbuhl , G. George Batrouni , Fernando A. Oliveira

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

Soft Condensed Matter · Physics 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

Point by point strain scanning is often used to map the residual stress (strain) in engineering materials and components. However, the gauge volume and hence spatial resolution is limited by the beam defining apertures and can be…

Suspended drums made of 2D materials hold potential for sensing applications. However, the industrialization of these applications is hindered by significant device-to-device variations presumably caused by non-uniform stress distributions…

Based on the superposition of incremental frictional surface tractions that, in the case of an incompressible elastic half-space, correspond to a rigid tangential translation of a circular contact domain, the stress and displacement fields…

Soft Condensed Matter · Physics 2024-10-29 Emanuel Willert

In the course of animal development, the shape of tissue emerges in part from mechanical and biochemical interactions between cells. Measuring stress in tissue is essential for studying morphogenesis and its physical constraints.…

Quantitative Methods · Quantitative Biology 2013-01-21 S. Ishihara , K. Sugimura , S. J. Cox , I. Bonnet , Y. Bellaiche , F. Graner