粘弹性体的准静态粘着接触及其极小粘性下的数值处理
Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity
AI总结:
研究线性Kelvin-Voigt粘弹性体在极小粘性下的准静态粘着接触问题,采用率无关单向脱粘准则,通过半隐式时间离散和边界元空间离散进行二维数值模拟,揭示粘性趋于零时体耗散能的缺陷测度。
摘要:
研究了小应变下具有小粘性的线性Kelvin-Voigt流变学中弹性体的粘着单边接触。脱粘的流动准则被视为率无关且单向的,并忽略惯性。当粘性趋近于零趋向纯弹性材料时,渐近行为涉及某种缺陷测度,该测度以某种自然方式记录由于(消失的)粘性在体内部耗散的额外能量,这一点通过基于半隐式时间离散和边界元方法空间离散的特定二维计算模拟得到了证明。
英文摘要:
An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin-Voigt rheology at small strains is scrutinized. The flow-rule for debonding the adhesive is considered rate-independent and unidirectional, and inertia is neglected. The asymptotics for the viscosity approaching zero towards purely elastic material involves a certain defect-like measure recording in some sense natural additional energy dissipated in the bulk due to (vanishing) viscosity, which is demonstrated on particular 2-dimensional computational simulations based on a semi-implicit time discretisation and a spacial discretisation implemented by boundary-element method.
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