遵守德鲁克-普拉格屈服准则和非相关塑性流动规则的球形空腔在无限稀释介质中的膨胀

IF 0.6 4区 工程技术 Q4 MECHANICS Mechanics of Solids Pub Date : 2024-11-01 DOI:10.1134/S0025654424604014
E. A. Lyamina
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引用次数: 0

摘要

在一个无限膨胀介质中,球形空腔从半径为零开始膨胀,在此过程中确定了主应力、径向速度和相对密度的分布。介质服从德鲁克-普拉格屈服准则。塑性势能也属于德鲁克-普拉格类型,但与屈服准则不同。此外,它还涉及相对密度,并导致在一定相对密度值下的不可压缩方程。针对塑性势对相对密度的特定依赖性,提供了详细的解法分析。分析表明,空腔表面附近的解的定性行为取决于这种依赖性所涉及的一个构成参数。一个数值示例说明了一般解法。
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Expansion of a Spherical Cavity in an Infinite Dilatant Medium Obeying the Drucker–Prager Yield Criterion and a Non-Associated Plastic Flow Rule

The distributions of the principal stresses, the radial velocity, and the relative density are determined in an infinite dilatant medium in which a spherical cavity expands from a zero radius. The medium obeys the Drucker–Prager yield criterion. The plastic potential is also of Drucker–Prager type but differs from the yield criterion. Moreover, it involves the relative density and results in the incompressibility equation at a certain relative density value. A detailed analysis of the solution is provided for a specific dependence of the plastic potential on the relative density. It is shown that the qualitative behavior of the solution near the cavity’s surface depends on a constitutive parameter involved in this dependence. A numerical example illustrates the general solution.

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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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