37:. In 1907 Kolosov derived the solution for stresses around an elliptical hole in a solid material governed by the mathematical theory of elasticity. He showed that the concentration of stress could become far greater, as the radius of curvature at an end of the hole becomes small compared with the overall length of the hole.
41:
Brittle fracture in the form of crack growth is governed by the stress field around the crack tip and by parameters that describe the resistance of the material to crack growth. Thus, the analysis of stress near the crack tip constitutes an essential part of fracture mechanics. ... Among various
46:
is one of the most powerful and convenient methods to treat two-dimensional crack problems. In the complex potential method, stresses and displacements are expressed in terms of analytic functions of complex variables. The problem of obtaining stresses and displacements around a crack tip is
17:
80:
245:
240:
250:
235:
215:
76:
230:
174:
130:
72:
56:
60:
146:
220:
189:
87:
225:
179:
90:
in 1931. He wrote the 1935 monograph "The use of a complex variable in the theory of elasticity" (in
Russian).
34:
59:
where he continued to after graduation. Eventually, he defended his thesis there under the supervision of
185:
115:
43:
210:
205:
165:
64:
169:
94:
42:
mathematical methods in plane elasticity, the complex potential function method by
Kolosov and
126:
52:
47:
converted to finding some analytic functions subjected to appropriate boundary conditions.
199:
68:
30:
26:(Гурий Васильевич Колосов, 25 August 1867 – 7 November 1936) was a Russian and
16:
33:
and engineer. He is best known for his contributions to the theory of
15:
27:
81:
116:"Chapter 3. The Elastic Stress Field around a Crack Tip"
246:
Corresponding
Members of the USSR Academy of Sciences
241:
Academic staff of Saint
Petersburg State University
86:Kolosov was elected a corresponding member of the
149:. rosgenea.ru (Center for Genealogical Research).
39:
8:
67:(from 1902 to 1913), but later returned to
251:Academic staff of the University of Tartu
236:Saint Petersburg State University alumni
83:in 1908 at Rome and in 1928 at Bologna.
175:MacTutor History of Mathematics Archive
106:
216:Mathematicians from the Russian Empire
114:Chin-Teh Sun & Zhihe Jin (2012).
7:
14:
231:Engineers from the Russian Empire
1:
71:where he worked at both the
190:Russian Academy of Sciences
88:Russian Academy of Sciences
73:University of St Petersburg
57:University of St Petersburg
267:
147:"Колосов Гурий Васильевич"
77:Electrotechnical Institute
51:Kolosov was born in Ust,
180:University of St Andrews
24:Gury Vasilievich Kolosov
55:. He then studied at
49:
20:
221:Soviet mathematicians
19:
166:Robertson, Edmund F.
164:O'Connor, John J.;
65:University of Tartu
123:Fracture Mechanics
95:Smolensky Cemetery
53:Novgorod guberniya
21:
132:978-0-12-38500-27
93:He was buried in
258:
226:Soviet engineers
182:
151:
150:
143:
137:
136:
120:
111:
266:
265:
261:
260:
259:
257:
256:
255:
196:
195:
163:
160:
155:
154:
145:
144:
140:
133:
118:
113:
112:
108:
103:
63:. He worked at
12:
11:
5:
264:
262:
254:
253:
248:
243:
238:
233:
228:
223:
218:
213:
208:
198:
197:
194:
193:
183:
170:"Gury Kolosov"
159:
158:External links
156:
153:
152:
138:
131:
105:
104:
102:
99:
44:Muskhelishvili
13:
10:
9:
6:
4:
3:
2:
263:
252:
249:
247:
244:
242:
239:
237:
234:
232:
229:
227:
224:
222:
219:
217:
214:
212:
209:
207:
204:
203:
201:
191:
187:
184:
181:
177:
176:
171:
167:
162:
161:
157:
148:
142:
139:
134:
128:
124:
117:
110:
107:
100:
98:
96:
91:
89:
84:
82:
78:
74:
70:
69:St Petersburg
66:
62:
58:
54:
48:
45:
38:
36:
32:
31:mathematician
29:
25:
18:
173:
141:
125:. Elsevier.
122:
109:
92:
85:
79:. He was an
61:V.A. Steklov
50:
40:
23:
22:
211:1936 deaths
206:1867 births
188:– from the
200:Categories
101:References
35:elasticity
192:web site.
75:and the
186:Picture
129:
28:Soviet
119:(PDF)
127:ISBN
202::
178:,
172:,
168:,
121:.
97:.
135:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
