The strain gradient viscoelasticity full field solution of mode-III crack problem
Source abstract
Abstract
Abstract The size effect and viscosity effect are both noticeable at the micro-/nano-scale. In the present work, the strain gradient viscoelastic solution of mode-III crack in an infinite quasi-brittle advanced material is proposed based on the strain gradient viscoelasticity theory by using Wiener-Hopf method. The solutions of the gradient-dependent viscoelastic crack problem are obtained directly by using the correspondence principle between the strain gradient viscoelasticity and strain gradient elasticity in Maxwell standard linear solid model. In this model, the stress near the crack tip is time-dependent and size-dependent. Besides, the stress near the crack tip is larger than that which is in gradient elasticity theory. The location and the value of maximum stress change with time,which differs from the case in strain gradient elasticity theory.The time that normalized stress take to stabilize also changes with the changing of with distances from the crack tip. When viscoelasticity is neglected or time tends to infinity, the strain gradient viscoelasticity theory can be reduced to the classical strain gradient elasticity theory.
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Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Diamond and Carbon-based Materials Research · Microstructure and mechanical properties
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