ERRATA

The online version of the original book can be found at http://dx.doi.org/10.1007/978-1-4614-4833-4

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Errata for Introduction of Linear Elasticity 3rd Ed.

	Original	Errata
1	Page 12, Exercise 1.8 “Write the divergence theorem defined in (1.18a) and (1.18b) in indicial notations”	“Write the divergence theorem defined in (1.14) in indicial notation”
2	Page 12, Ex. 1.9 “$\varepsilon_{ijk} A_{ij} {\mathbf{e}}_{k}$”	“$\varepsilon_{ijk} A_{j,i} {\mathbf{e}}_{k}$”
3	Page 43, Ex. 2.1(a), second row “$\sigma_{21} = \sigma,\sigma_{22} = 0, \sigma_{33} = 0$”	“$\sigma_{22} = \sigma,\sigma_{23} = 0, \sigma_{33} = \sigma$”
4	Page 45, Ex. 2.11 “$\sigma_{ns} = [\sigma_{ik}\sigma_{jm}n_{k}n_{m}(\delta_{km} - n_{k}n_{m})]^{1/2}$”	“$\sigma_{ns} = [\sigma_{ik}\sigma_{jm}n_{k}n_{m}(\delta_{ij} - n_{i}n_{j})]^{1/2}$”
5	Page 67, Ex. 3.1 “$uy$”	“$u_{y}$”
6	Page 69, Ex. 3.6 (b) “$u_{2} = y_{3} =0$”	“$u_{2} = u_{3} =0$”
7	Page 69, Ex. 3.8(a) $R_{1} = \cdots = 0$ $R_{2} = \cdots = 0$ $R_{3} = \cdots = 0$	$R_{3} = \cdots = 0$ $R_{1} = \cdots = 0$ $R_{2} = \cdots = 0$
8	Page 144 Eq. (7.23a,b,c)	$\sigma_{rr} = \alpha_{ri}\alpha_{rj}\sigma_{ij}$ $\sigma_{\theta\theta} = \alpha_{\theta i}\alpha_{\theta j}\sigma_{ij}$ $\sigma_{r \theta} = \alpha_{ri}\alpha_{\theta j}\sigma_{ij}$
9	Page 145 Eq. (7.24), table head “x, y, x”	Table head should be “x, y, z”
10	Page 179 Ex. (7.2c)	Add condition “assume v = 0.3, E = 30 × 103”
11	Page 184, Ex. 7.20 “plane strain case”	“plane stress case”
12	Page 185, Ex. 7.21 $\frac{1}{r}(r\phi,r),r + E\alpha\Delta T = 0$	$\nabla^{2}\left[\textstyle\frac{1}{r}(r\phi,r),r\right] + E\alpha\Delta T = 0$ Hint: Generalize (7.8) based on (4.42).
13	Page 259, Ex. 9.7(a) $\phi$ satisfies (9.107) and (9.108)	$\phi$ satisfies (9.114) and (9.115)
14	Page 329, Ex. 12.4 The shaft is subjected to axial load and P	The shaft is subjected to axial load P
15	Page 281, Ex. (10.4) ${\varepsilon} (t)=C\sigma_0$ $C=C_g+\frac{C_v}{s+1/\tau}$	${\varepsilon} (s)=C\sigma (s)$ $C=\frac{{C_v}{C_g}}{C_g+\frac{C_vs}{s+1/\tau}}$