Effects of Strain Gradients on the Gross Strain Crack Tolerance of A 533-B Steel

1973 ◽  
pp. 404-420
Author(s):  
P. N. Randall ◽  
J. G. Merkle
Keyword(s):  
Strain Gradients

scholarly journals Conservation Integrals in Nonhomogeneous Materials with Flexoelectricity

2021 ◽  
Vol 11 (2) ◽  
pp. 681
Author(s):  
Pengfei Yu ◽  
Weifeng Leng ◽  
Yaohong Suo
Keyword(s):  
Electromechanical Coupling ◽  
Energy Momentum Tensor ◽  
Great Influence ◽  
Operator Method ◽  
Electric Polarization ◽  
Momentum Tensor ◽  
Noether Theorem ◽  
Strain Gradients ◽  
Flexoelectric Effect ◽  
Nonhomogeneous Materials

The flexoelectricity, which is a new electromechanical coupling phenomenon between strain gradients and electric polarization, has a great influence on the fracture analysis of flexoelectric solids due to the large gradients near the cracks. On the other hand, although the flexoelectricity has been extensively investigated in recent decades, the study on flexoelectricity in nonhomogeneous materials is still rare, especially the fracture problems. Therefore, in this manuscript, the conservation integrals for nonhomogeneous flexoelectric materials are obtained to solve the fracture problem. Application of operators such as grad, div, and curl to electric Gibbs free energy and internal energy, the energy-momentum tensor, angular momentum tensor, and dilatation flux can also be derived. We examine the correctness of the conservation integrals by comparing with the previous work and discuss the operator method here and Noether theorem in the previous work. Finally, considering the flexoelectric effect, a nonhomogeneous beam problem with crack is solved to show the application of the conservation integrals.

Phase-based Bragg intra-grating sensing of strain gradients

1995 ◽  
Author(s):  
Myo M. Ohn ◽  
Simon Sandgren ◽  
Shang Yuan Huang ◽  
Robert Maaskant ◽  
Raoul Stubbe ◽  
...  
Keyword(s):  
Strain Gradients

Consequences of lattice expansive strain gradients on hydrogen loading in palladium

1997 ◽  
Vol 56 (5) ◽  
pp. 2417-2420 ◽  
Author(s):  
A. De Ninno ◽  
V. Violante ◽  
A. La Barbera
Keyword(s):  
Strain Gradients

scholarly journals Verifying Larché–Cahn elasticity, a milestone of 20th-century thermodynamics

2018 ◽  
Vol 115 (43) ◽  
pp. 10914-10919 ◽  
Author(s):  
Shan Shi ◽  
Jürgen Markmann ◽  
Jörg Weissmüller
Keyword(s):  
20Th Century ◽  
Open System ◽  
Solid Mechanics ◽  
Chemical Potential ◽  
Local Strain ◽  
Elastic Parameters ◽  
Dynamic Mechanical Analyzer ◽  
Strain Gradients ◽  
Alloy Chemistry ◽  
Diffusion Paths

Many materials phenomena are governed by the interaction between chemistry and mechanics. However, it was only in the second half of the 20th century that the theory of open system elasticity by Francis Larché and John W. Cahn concatenated the fields of solid mechanics and alloy chemistry. As the theory’s central materials descriptors, the open system elastic parameters describe how solids deform under stress when solute can rearrange at equilibrium while the chemical potential is held constant. Here, we report experiments verifying the predictions for these parameters. We study the elasticity of nanoporous Pd-H and Pd-Au-H during load cycles imposed by a dynamic mechanical analyzer. Short diffusion paths afford fast equilibration of H in the local strain gradients that carry the macroscopic elastic deformation. The experiment is in excellent agreement with the theory, confirming a central prediction of one of the key contributions to 20th-century thermodynamics.

scholarly journals Cellular orientation is guided by strain gradients

2017 ◽  
Vol 9 (7) ◽  
pp. 607-618 ◽  
Author(s):  
Sophie Chagnon-Lessard ◽  
Hubert Jean-Ruel ◽  
Michel Godin ◽  
Andrew E. Pelling
Keyword(s):  
Long Range ◽  
Strain Gradients ◽  
Physical Cues

A biomimetic microdevice reveals that strain gradients act as potent physical cues which guide the long-range organization of cells.

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