The Nonlinear Viscoelastic Response of Suspensions of Vacuous Bubbles in Rubber: I — Gaussian Rubber with Constant Viscosity
The Nonlinear Viscoelastic Response of Suspensions of Vacuous Bubbles in Rubber: I — Gaussian Rubber with Constant Viscosity
复制标题
橡胶中空泡悬浮液的非线性粘弹性响应：I→恒粘度高斯橡胶
DOI：
10.1007/s10659-021-09868-y
复制
发表时间：
2022
影响因子：
2
通讯作者：
Lopez-Pamies, Oscar
中科院分区：
文献类型：
--
作者：
Shrimali, Bhavesh;Ghosh, Kamalendu;Lopez-Pamies, Oscar
本文用解析和数值方法研究了粘弹性橡胶中有限准静态变形下空泡悬浮液的均匀化问题。重点是最初是等轴的形状和各向同性分布在空间和各向同性不可压缩橡胶高斯弹性和恒定粘度的气泡的基本情况。从分析的角度来看，渐近解是在极限中得出的： 我 $i$）的小变形， 我 我 $ii$）的有限变形，无论是施加无限缓慢或无限快，和 我 我 我 $iii$）当橡胶失去其储存弹性能量的能力并还原为牛顿流体时。从数值的角度来看，利用最近开发的计划的基础上，符合Crouzeix-Raviart有限元离散的空间和高阶精确的显式龙格库塔离散的时间，样品解决方案制定了悬浮液的初始球形气泡相同（单分散）的大小在各种载荷条件下。与Ghosh等人（J. Mech. Phys. Solids 155：104544，2021）最近的推测一致，各种渐近和数值解表明，与通常预期的长程记忆行为相比，悬架的粘弹性响应具有与底层橡胶相同类型的短程记忆行为，其显著差异在于它们的有效弹性是可压缩的，而它们的有效粘度是可压缩的和非线性的。出于同样的原因，各种解决方案揭示了一个简单而准确的分析近似的宏观粘弹性响应下的悬浮液任意有限准静态变形。
This paper presents an analytical and numerical study of the homogenization problem of suspensions of vacuous bubbles in viscoelastic rubber subject to finite quasistatic deformations. The focus is on the elementary case of bubbles that are initially equiaxed in shape and isotropically distributed in space and on isotropic incompressible rubber with Gaussian elasticity and constant viscosity. From an analytical point of view, asymptotic solutions are worked out in the limits: i $i$) of small deformations, i i $ii$) of finite deformations that are applied either infinitesimally slowly or infinitely fast, and i i i $iii$) when the rubber loses its ability to store elastic energy and reduces to a Newtonian fluid. From a numerical point of view, making use of a recently developed scheme based on a conforming Crouzeix-Raviart finite-element discretization of space and a high-order accurate explicit Runge-Kutta discretization of time, sample solutions are worked out for suspensions of initially spherical bubbles of the same (monodisperse) size under a variety of loading conditions. Consistent with a recent conjecture of Ghosh et al. (J. Mech. Phys. Solids 155:104544, 2021), the various asymptotic and numerical solutions indicate that the viscoelastic response of the suspensions features the same type of short-range-memory behavior — in contrast with the generally expected long-range-memory behavior — as that of the underlying rubber, with the distinctive differences that their effective elasticity is compressible and their effective viscosity is compressible and nonlinear. By the same token, the various solutions reveal a simple yet accurate analytical approximation for the macroscopic viscoelastic response of the suspensions under arbitrary finite quasistatic deformations.
登录
查看更多内容
由均质化解决方案构建的简单显式模型，用于弹性体复合泡沫的大应变机械响应
影响因子：
3.2
作者：
Shrimali, Bhavesh;Parnell, William J.;Lopez-Pamies, Oscar
通讯作者：
Lopez-Pamies, Oscar
DOI：
--
发表时间：
1975
期刊：
影响因子：
--
作者：
B. Halphen;Q. Nguyen
通讯作者：
Q. Nguyen
DOI：
10.1002/pol.1969.160070904
发表时间：
1969-09
期刊：
Journal of Polymer Science Part A-2: Polymer Physics
影响因子：
--
作者：
A. Gent;D. Tompkins
通讯作者：
A. Gent;D. Tompkins
橡胶中刚性夹杂物悬浮液的非线性粘弹性响应：恒粘度I-高斯橡胶
影响因子：
5.3
作者：
Ghosh, Kamalendu;Shrimali, Bhavesh;Kumar, Aditya;Lopez-Pamies, Oscar
通讯作者：
Lopez-Pamies, Oscar
<战争的神话化> <战争的记忆> - 根据德国女孩的一战日记改编
DOI：
--
发表时间：
2006
期刊：
駿台史学 127
影响因子：
--
作者：
K.;Saeki;et. al.;柴 宜弘;佐伯弘次(共編);木村 真;KIMURA Matoko;柴 宜弘(編);柴 宜弘(編);SHIBA Nobuhiro (ed.);SHIBA Nobuhiro (ed.);柴 宜弘編;柴 宣弘(編);柴 宣弘(研究代表者);柴 宜弘(編);SHIBA Nobuhiro (ed.);SHIBA Nobuhiro (ed.);SHIBA Nobuhiro (ed.);柴 宜弘(編);SHIBA Nobuhiro (ed.);YAMASAKI Shinichi;桜井 万里子(編);山崎 信一;三宅 立
通讯作者：
三宅 立