Erratum to “Fundamental Solution in the Theory of Thermomicrostretch Elastic Diffusive Solids”

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Authors have come across some typographic mistakes in their original paper. Equations (2.1), (2.3), (2.6), (2.9), (3.1), (3.3)–(3.5), (3.7), (3.9), (3.11), (3.13), (3.14), (3.17)–(3.19), (3.22), and (3.35) may be read as 𝜇+𝐾^∗Δ𝐮+𝑓(𝜆+𝜇)graddiv𝐮+𝐾^∗curl𝝋+𝜒^∗grad𝜓^∗−𝛽₁grad𝑇−𝛽₂grad𝐶=𝜌𝐮̈,_∗Δ−𝑏2𝐾^∗𝝋+𝛼^∗+𝛽^∗graddiv𝝋+𝐾^∗curl𝐮=𝜌𝑗𝝋̈,_∗1+𝜏₀Δ−𝑐^∗𝜓^∗−𝜒^∗div𝐮+𝑔^∗𝑇+ℎ^∗𝐶=𝜌𝜁𝜓̈,𝜕𝜕𝑡𝛽¹𝑇₀div𝐮̇+𝑔^∗𝑇₀𝜓^∗̇‌+𝜌𝐶_𝐸̇‌𝑇+𝑎𝑇₀̇‌𝐷𝛽₂𝐶=𝐾Δ𝑇,Δdiv𝐮+𝐷ℎ^∗Δ𝜓^∗+𝐷𝑎Δ𝑇−𝐷𝑏Δ𝐶+𝐶̇+𝜏⁰̈‌𝐶=0.(2.1)

  𝛿₁Δ𝐮+𝛿₂g𝛿raddiv𝐮+𝛿₃curl𝝋+𝛿₄grad𝜓^∗−grad𝑇−grad𝐶=𝐮̈,₅𝛿Δ−2𝛿₃𝝋+𝛿₆graddiv𝝋+𝛿₃curl𝐮=𝛿₇𝝋̈‌,₈Δ𝜏_0𝑡−𝛿₉𝜓^∗−𝛿₁₀div𝐮+𝛿₁₁𝑇+𝛿₁₂𝐶=𝜓^∗̈,𝜁²div𝐮̇+𝜁₃𝑞𝜓^∗̇‌+𝑇̇+𝜁₁𝐶̇‌=Δ𝑇,_∗1Δdiv𝐮+𝑞^∗4Δ𝜓^∗+𝑞^∗2Δ𝑇−𝑞^∗3Δ𝐶+𝜏^0𝑐̇‌𝐶=0.(2.3)

  𝛿₁Δ+𝜔²𝐮+𝛿𝛿₂graddiv𝐮+𝛿₃curl𝝋+𝛿₄grad𝜓^∗−grad𝑇−grad𝐶=𝟎,₅−𝛿₁₀Δ+𝜇^∗𝝋+𝛿₆graddiv𝝋+𝛿₃curl𝐮=𝟎,−𝜏_𝑡10div𝐮+𝛿₈Δ+𝜁^∗𝜓^∗+𝛿₁₁𝑇+𝛿₁₂𝐶=0,𝑞𝜁₂div𝐮+𝜁₃𝜓^∗+𝜁₁𝐶+Δ−𝜏^𝑡10𝑇=0,_∗1Δdiv𝐮+𝑞^∗4Δ𝜓^∗+𝑞^∗2Δ𝑇−𝑞^∗3Δ𝐶+𝜏^𝑐10𝐶=0.(2.6)

  𝐹_𝑚𝑛𝐃_𝐱=𝛿₁Δ+𝜔²𝛿_𝑚𝑛+𝛿₂𝜕²𝜕𝑥_𝑚𝜕𝑥_𝑛,𝐹_𝑚,𝑛+3𝐃_𝐱=𝐹_𝑚+3,𝑛𝐃_𝐱=𝛿₃₃_𝑟=1𝜀_𝑚𝑟𝑛𝜕𝜕𝑥_𝑟𝐹_𝑚7,𝐃_𝐱=𝛿₄𝜕𝜕𝑥_𝑚,𝐹_𝑚8𝐃_𝐱=𝐹_𝑚9𝐃_𝐱=−𝜕𝜕𝑥_𝑚𝐹_{𝑚+3,𝑛+3},𝐃_𝐱=𝛿₅Δ+𝜇^∗𝛿_𝑚𝑛+𝛿₆𝜕²𝜕𝑥_𝑚𝜕𝑥_𝑛𝐹_𝑚+3,7,𝐹𝐃_𝐱=𝐹_7,𝑛+3𝐃_𝐱=𝐹_𝑚+3,8𝐃_𝐱=𝐹_8,𝑛+3𝐃_𝐱=𝐹_𝑚+3,9𝐃_𝐱=𝐹_9,𝑛+3𝐃_𝐱=0,_7𝑛𝐃_𝐱=−𝛿₁₀𝜕𝜕𝑥_𝑛𝐹_8𝑛,𝐹₇₇𝐃_𝐱=𝛿₈Δ+𝜁^∗,𝐹₇₈𝐃_𝐱=𝛿₁₁,𝐹₇₉𝐃_𝐱=𝛿₁₂,𝐃_𝐱=−𝜁₂𝜏^𝑡10𝜕𝜕𝑥_𝑛𝐹₈₉,𝐹₈₇𝐃_𝐱=−𝜁₃𝜏^𝑡10,𝐹₈₈𝐃_𝐱=Δ−𝜏^𝑡10,𝐃_𝐱=−𝜁₁𝜏^𝑡10,𝐹𝐹_9𝑛𝐃_𝐱=𝑞^∗1Δ𝜕𝜕𝑥_𝑛,𝐹₉₇𝐃_𝐱=𝑞^∗4Δ,𝐹₉₈𝐃_𝐱=𝑞^∗2Δ,₉₉𝐃_𝐱=−𝑞^∗3Δ+𝜏^𝑐10,𝑚,𝑛=1,2,3.(2.9)

  𝛿₁Δ𝐮+𝛿₂graddiv𝐮+𝛿₃curl𝝋−𝛿₁₀grad𝜓^∗−𝜁₂𝜏^𝑡10grad𝑇+𝑞^∗1Δgrad𝐶+𝜔²𝐮=𝐇^′.(3.1)

  𝛿₄−didvi𝐮v𝐮++𝛿𝛿₈Δ₁₁+𝜁^∗𝜓^∗−𝜁₃𝜏^𝑡10𝑇+𝑞^∗4Δ𝐶=𝑍.(3.3)−div𝐮+𝛿₁₂𝜓^∗+Δ−𝜏^𝑡10𝑇+𝑞^∗2Δ𝐶=𝐿.(3.4)𝜓^∗−𝜁₁𝜏^𝑡10𝑇−𝑞^∗3Δ𝐶+𝜏^𝑐10𝐶=𝑀.(3.5)   Δ+𝜔²div𝐮𝜐−_∗𝛿₁₀Δ𝜓^∗−𝜁₂𝜏^𝑡10Δ𝑇+𝑞^∗1Δ²𝐶=div𝐇^,𝛿₄Δ+𝜇^∗div𝝋=div𝐇^,−didviv𝐮𝐮++𝛿𝛿₈Δ₁₁+𝜁^∗𝜓^∗−𝜁₃𝜏^𝑡10𝑇+𝑞^∗4Δ𝐶=𝑍,−div𝐮+𝛿₁₂𝜓^∗+Δ−𝜏^𝑡10𝑇+𝑞^∗2Δ𝐶=𝐿,𝜓^∗−𝜁₁𝜏^𝑡10𝑇−𝑞^∗3Δ𝐶+𝜏^𝑐10𝐶=𝑀.(3.7)

  𝑁(Δ)=‖‖𝑁_𝑚𝑛(Δ)‖‖_4×4=‖‖‖‖‖‖Δ+𝜔²−𝛿₁₀Δ−𝜁₂𝜏^𝑡10Δ𝑞^∗1Δ²−𝛿₄1𝛿₈Δ𝛿+₁₁𝜁^∗−𝜁₃𝜏^𝑡10𝑞^∗4Δ−1𝛿₁₂Δ−𝜏^𝑡10𝑞^∗2Δ−𝜁₁𝜏^𝑡10−𝑞^∗3Δ+𝜏^𝑐10‖‖‖‖‖‖_4×4.(3.9)

  𝚿=Ψ₁,Ψ₂,Ψ₃,Ψ₄,Ψ_𝑛=𝑒^∗4_𝑚₌₁Γ₁𝑁^∗𝑚𝑛𝑑_𝑚,(Δ)=𝑒^∗det𝐍(Δ),𝑒^∗=−1𝑞^∗3𝛿₈,𝑛=1,2,3,4.(3.11)   Δ+𝜆²⁷div𝝋=𝜐1_∗div𝐇^.(3.13)

  𝛿₅Δ=+𝛿𝜇^∗𝛿₁Δ𝐮+𝛿₂graddiv𝐮+𝜔²𝐮+𝛿₃𝛿₅Δ+𝜇^∗curl𝝋₅Δ+𝜇^∗𝐇^′+𝛿₁₀grad𝜓^∗+𝜁₂𝜏^𝑡10grad𝑇−𝑞^∗1Δgrad𝐶.(3.14)

  𝛿₅Δ=+𝛿𝜇^∗𝛿₁Δ𝐮+𝛿₂graddiv𝐮+𝜔²𝐮+𝛿²³Δ𝐮−𝛿²³graddiv𝐮₅𝛿₅Δ+𝜇^∗𝐇^′+𝛿₁₀grad𝜓^∗+𝜁₂𝜏^𝑡10grad𝑇−𝑞^∗1Δgrad𝐶−𝛿₃curl𝐇^′.(3.17)=Δ−+𝛿𝜇^∗₂𝛿₁+𝛿²³Δ+𝛿₅Δ+𝜇^∗𝜔²×𝐇_′𝛿₅Δ+𝜇^∗−𝛿²³graddiv𝐮+𝛿₅Δ+𝜇^∗Γ+𝛿₁₀grad𝜓^∗+𝜁₂𝜏^𝑡10grad𝑇−𝑞^∗1Δgrad𝐶−𝛿₃curl𝐇^′.(3.18)₁(Δ=)−𝛿₅𝛿𝛿₁₂Δ²+𝜇^∗𝛿₁+𝛿₅𝜔²+𝛿²³Δ+𝜇^∗𝜔²𝐮×Γ₁𝛿₅Δ+𝜇^∗−𝛿²³gradΨ₁+𝛿₅Δ+𝜇^∗(Δ)𝐇^′+𝛿₁₀gradΨ₂+𝜁₂𝜏^𝑡10gradΨ₃−𝑞^∗1ΔgradΨ₄−𝛿³Γ₁(Δ)curl𝐇^′.(3.19)   𝚿^=𝑓^∗×−Γ₁𝛿₂𝛿₅Δ+𝜇^∗−𝛿²³gradΨ₁+𝛿₅Δ+𝜇^∗(Δ)𝐇^′+𝛿₁₀gradΨ₂+𝜁₂𝜏^𝑡10gradΨ₃−𝑞^∗1ΔgradΨ₄−𝛿³Γ₁(Δ)curl𝐇^′.(3.22)

  𝑞𝑞₁₁₂₁(Δ)=𝑓^∗𝑒^∗𝛿₅Δ+𝜇^∗𝛿₁₀𝑁^∗12+𝜁₂𝜏^𝑡10𝑁^∗13−𝑞^∗1Δ𝑁^∗14−𝛿₂𝛿₅Δ+𝜇^∗−𝛿²³𝑁^∗11,(Δ)=−𝑓^∗𝛿₃Γ₁(Δ),𝑞₁₂(Δ)=−𝑓^∗𝛿₃Δ+𝜆²⁷,𝑞₂₂(Δ)=−𝑓^∗𝜐^∗𝛿₆𝛿₁𝑞₃₁Δ+𝜔²−𝛿²³,𝑞₄₁(Δ)=𝑓^∗𝑒^∗𝛿₅Δ+𝜇^∗𝛿₁₀𝑁^∗22+𝜁₂𝜏^𝑡10𝑁^∗23−𝑞^∗1Δ𝑁^∗24−𝛿₂𝛿₅Δ+𝜇^∗−𝛿²³𝑁^∗21,𝑞₅₁(Δ)=𝑓^∗𝑒^∗𝛿₅Δ+𝜇^∗𝛿₁₀𝑁^∗32+𝜁₂𝜏^𝑡10𝑁^∗33−𝑞^∗1Δ𝑁^∗34−𝛿₂𝛿₅Δ+𝜇^∗−𝛿²³𝑁^∗31,𝑞₁₃(Δ)=𝑓^∗𝑒^∗𝛿₅Δ+𝜇^∗𝛿₁₀𝑁^∗42+𝜁₂𝜏^𝑡10𝑁^∗43−𝑞^∗1Δ𝑁^∗44−𝛿₂𝛿₅Δ+𝜇^∗−𝛿²³𝑁^∗41,𝑞₃₃(Δ)=𝑒^∗𝑁^∗12,𝑞₁₄(Δ)=𝑒^∗𝑁^∗13,𝑞₁₅(Δ)=𝑒^∗𝑁^∗14,𝑞₄₃(Δ)=𝑒^∗𝑁^∗22,𝑞₃₄(Δ)=𝑒^∗𝑁^∗23,𝑞₃₅(Δ)=𝑒^∗𝑁^∗24,𝑞₅₃(Δ)=𝑒^∗𝑁^∗32,𝑞₄₄(Δ)=𝑒^∗𝑁^∗33,𝑞₄₅(Δ)=𝑒^∗𝑁^∗34,(Δ)=𝑒^∗𝑁^∗42,𝑞₅₄(Δ)=𝑒^∗𝑁^∗43,𝑞₅₅(Δ)=𝑒^∗𝑁^∗44.(3.35) The above errors do not affect the analytic results of the paper. Inconvenience caused is regretted.