Concepedia

Concept

solid mechanics

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222K

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11.6M

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284.4K

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14.8K

Institutions

Dislocation Theory of Plasticity

1935 - 1964

Dislocations offer a unifying microstructural mechanism linking plastic yielding, damping, and energy dissipation in metals through dislocation interactions and mobility, connecting defect dynamics to macroscopic response. Nonlinear elasticity and large-deformation formulations provide a cohesive framework for modeling large strains, anisotropy, and temperature/pressure effects in both metals and rubbers. Elastic-constant studies and investigations into friction, energy dissipation, and fracture/failure reveal how thermomechanical variables and microstructural interactions shape stiffness, damping, and failure patterns.

Dislocations offer a unifying microstructural mechanism connecting plastic yielding, strain aging, damping, and energy dissipation in metals via dislocation interactions and mobility. This framework links microscopic defect dynamics to macroscopic mechanical behavior, as illustrated by dislocation theory of yielding, damping, size effects, and related elasticity work [1], [2], [5], [8], [12], [13].

Nonlinear elasticity and large-deformation form a cohesive framework for both metals and rubbers, modeling large strains, anisotropy, and temperature/pressure effects via continuum theories and finite-deformation formulations [3], [4], [11], [14], [19].

Elastic-constant studies reveal the role of anisotropy and thermomechanical variables on stiffness across materials, guiding predictions for temperature and pressure effects in crystalline and anisotropic systems [4], [6], [19], [20].

Friction, lubrication, and energy-dissipation mechanisms in solids are analyzed through internal friction and dislocation-related damping, providing a cohesive view of tribological and mechanical loss processes [10], [13], [16].

Fracture and failure arise from microstructural interactions (solutes, dislocations) and crack propagation, linking solid-solution strengthening, plastic deformation, and crack initiation to metal fracture behavior [7], [9], [15], [18].

Fracture-Elasticity Synthesis

1965 - 1980

Elastoplastic Finite-Element Paradigm

1981 - 1987

Gradient-Driven Plasticity Paradigm

1988 - 2000

Cohesive XFEM Fracture Mechanics

2001 - 2007

Phase-Field Driven Microstructure Mechanics

2008 - 2024