发表机构
University of New South Wales; Central Queensland University; Bauhaus-Universität Weimar（新南威尔士大学; 中央昆士兰大学; 魏玛包豪斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出一种扩展深度能量方法，通过两个网络和Williams展开模拟热力裂纹扩展，无需正则化长度，实验验证了应力强度因子和裂纹路径的准确性。
AI 中文摘要
热力断裂将裂纹域上的瞬态热传导与随温度和位移演化而增长的裂纹耦合在一起。神经能量求解器已被提出用于相场断裂，并随后扩展到通过网络输入表示尖锐裂纹，但在这些求解器中，裂纹域上的热传导以及由此产生的热应力下的裂纹扩展尚未被同时处理。我们提出了一种用于热力裂纹扩展的扩展深度能量方法，其中裂纹保持为尖锐的折线。两个网络分别表示温度和位移，并通过一个标量嵌入函数接收裂纹，该函数在裂纹处不连续，在其他地方光滑，因此两个场可以跨越裂纹跳跃而无需正则化长度，并且位移在尖端附近通过具有可训练幅值的Williams展开得到增强。这两个场通过最小化增量传导泛函和热弹性势能以交错顺序获得，蒙特卡洛积分在背景单元上分层的点上进行，在尖端附近加密并在训练期间重新绘制。应力强度因子通过Wilson和Yu的面积项相互作用积分提取，并通过轮廓半径扫描进行检查，当扭结的能量释放率在裂纹尖端温度下达到临界值时，裂纹以最大环向应力角度前进。在静止的热边缘裂纹上，提取的应力强度因子与已发表值吻合至0.11%；在功能梯度剪切试验中，起裂与独立的尖锐裂纹有限元解在一个载荷步内一致；在带缺口的十字形试样上，裂纹路径在机械、热和组合载荷下遵循已发表的解。
英文摘要
Thermo-mechanical fracture couples transient heat conduction on a cracked domain with a crack that grows as the temperature and the displacement evolve. Neural energy solvers have been proposed for phase-field fracture and later extended to represent a sharp crack through the network input, but heat conduction on the cracked domain and crack propagation under the resulting thermal stresses have not yet been treated together in these solvers. We present an extended deep energy method for thermo-mechanical crack propagation in which the crack remains a sharp polyline. Two networks represent the temperature and the displacement and receive the crack through a scalar embedding function, discontinuous across the crack and smooth elsewhere, so that both fields can jump across it without a regularization length, and the displacement is enriched near the tip by the Williams expansion with trainable amplitudes. The two fields are obtained by minimizing an incremental conduction functional and the thermoelastic potential energy in a staggered sequence, with Monte Carlo integration on points stratified over background elements, densified near the tip and redrawn during training. The stress intensity factors are extracted by the interaction integral with the area term of Wilson and Yu and checked by a sweep of the contour radius, and the crack advances at the maximum hoop stress angle when the energy release rate of the kink reaches the critical value at the crack-tip temperature. On a stationary thermal edge crack the extracted stress intensity factor agrees with the published value to 0.11%, in a functionally graded shear test initiation agrees with an independent sharp-crack finite element solution to within one load step, and on a notched cruciform specimen the crack paths follow the published solutions under mechanical, thermal and combined loading.
Comments48 pages, 20 figures, 10 tables
