A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates
A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates
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DOI：
10.1115/1.4005897
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发表时间：
2012-05-01
影响因子：
2.6
通讯作者：
Sammis, Charles G.
中科院分区：
文献类型：
--
作者：
Bhat, Harsha S.;Rosakis, Ares J.;Sammis, Charles G.
Ashby和Sammis，1990年，“脆性固体在压缩中的损伤力学”，《纯粹应用地球物理学》，133（3），pp. 489-521，并由Deshpande和Evans 2008，“陶瓷中的非弹性变形和能量耗散：基于机制的本构模型”，J. Mech. Phys. Solids，56（10），pp. 3077-3100.已被扩展到允许一个更广义的应力状态，并纳入一个实验动机的新的裂纹扩展（损伤演化）的法律，是有效的在很宽的范围内的加载速率。这一规律对裂纹尖端应力场及其时间导数都很敏感。证实这一特征会在本构响应中产生额外的应变率敏感性。该模型还通过预测Dionysus-Pentelicon大理岩在10（-6）~ 10（3）s（-1）应变率范围内的破坏强度进行了实验验证。从准静态实验确定的模型参数被用来预测在较高的加载速率的破坏强度。与实验结果的协议是优秀的。[DOI电话：10.1115/1.4005897]
The micromechanical damage mechanics formulated by Ashby and Sammis, 1990, "The Damage Mechanics of Brittle Solids in Compression," Pure Appl. Geophys., 133(3), pp. 489-521, and generalized by Deshpande and Evans 2008, "Inelastic Deformation and Energy Dissipation in Ceramics: A Mechanism-Based Constitutive Model," J. Mech. Phys. Solids, 56(10), pp. 3077-3100. has been extended to allow for a more generalized stress state and to incorporate an experimentally motivated new crack growth (damage evolution) law that is valid over a wide range of loading rates. This law is sensitive to both the crack tip stress field and its time derivative. Incorporating this feature produces additional strain-rate sensitivity in the constitutive response. The model is also experimentally verified by predicting the failure strength of Dionysus-Pentelicon marble over strain rates ranging from similar to 10(-6) to 10(3)s(-1). Model parameters determined from quasi-static experiments were used to predict the failure strength at higher loading rates. Agreement with experimental results was excellent. [DOI: 10.1115/1.4005897]