Pruchnicki, Erick; Chen, Xiaoyi; Dai, Hui-Hui A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section. I: Theory. (English) Zbl 07601718 Math. Mech. Solids 27, No. 8, 1455-1479 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} et al., Math. Mech. Solids 27, No. 8, 1455--1479 (2022; Zbl 07601718) Full Text: DOI
Chen, Xiaoyi; Pruchnicki, Erick; Dai, Hui-Hui; Yu, Xiang A uniform framework for the dynamic behavior of linearized anisotropic elastic rods. (English) Zbl 07601717 Math. Mech. Solids 27, No. 8, 1429-1454 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 8, 1429--1454 (2022; Zbl 07601717) Full Text: DOI
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. (English) Zbl 07601670 Math. Mech. Solids 27, No. 4, 687-710 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 4, 687--710 (2022; Zbl 07601670) Full Text: DOI
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. (English) Zbl 07357399 Math. Mech. Solids 26, No. 2, 217-229 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 26, No. 2, 217--229 (2021; Zbl 07357399) Full Text: DOI
Pruchnicki, Erick On the homogenization of nonlinear shell. (English) Zbl 1464.74137 Altenbach, Holm (ed.) et al., Recent developments in the theory of shells. Dedicated to Wojciech Pietraszkiewicz on the occasion of his 80th birthday. Cham: Springer. Adv. Struct. Mater. 110, 525-539 (2019). Reviewer: M. Cengiz Dökmeci (İstanbul) MSC: 74Q05 74K25 74B20 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Adv. Struct. Mater. 110, 525--539 (2019; Zbl 1464.74137) Full Text: DOI
Pruchnicki, Erick; Dai, Hui-Hui New refined models for curved beams in both linear and nonlinear settings. (English) Zbl 07254354 Math. Mech. Solids 24, No. 7, 2295-2319 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} and \textit{H.-H. Dai}, Math. Mech. Solids 24, No. 7, 2295--2319 (2019; Zbl 07254354) Full Text: DOI
Pruchnicki, Erick Some specific aspects of linear homogenization shell theory. (English) Zbl 1448.74087 Math. Mech. Solids 24, No. 4, 1116-1128 (2019). MSC: 74Q05 74K25 74B05 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 4, 1116--1128 (2019; Zbl 1448.74087) Full Text: DOI
Pruchnicki, Erick On the homogenization of a nonlinear shell. (English) Zbl 1446.74195 Math. Mech. Solids 24, No. 4, 1054-1064 (2019). MSC: 74Q05 74K25 74B20 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 4, 1054--1064 (2019; Zbl 1446.74195) Full Text: DOI
Pruchnicki, E. An exact two-dimensional model for heterogeneous plates. (English) Zbl 1444.74036 Math. Mech. Solids 24, No. 3, 637-652 (2019). MSC: 74K20 74E05 74B05 74G10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 3, 637--652 (2019; Zbl 1444.74036) Full Text: DOI
Pruchnicki, E. Homogenization of a second-order plate model. (English) Zbl 1425.74402 Math. Mech. Solids 23, No. 9, 1323-1332 (2018). MSC: 74Q10 74K20 74H10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 23, No. 9, 1323--1332 (2018; Zbl 1425.74402) Full Text: DOI
Pruchnicki, Erick Contribution to beam theory based on 3-D energy principle. (English) Zbl 1395.74054 Math. Mech. Solids 23, No. 5, 775-786 (2018). MSC: 74K10 74G65 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 23, No. 5, 775--786 (2018; Zbl 1395.74054) Full Text: DOI
Pruchnicki, Erick One-dimensional model of fourth-order for rods with loading on lateral boundary: the case of rectangular cross-section. (English) Zbl 1395.74053 Math. Mech. Solids 22, No. 12, 2269-2287 (2017). MSC: 74K10 74G10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 22, No. 12, 2269--2287 (2017; Zbl 1395.74053) Full Text: DOI
Pruchnicki, Erick Two-dimensional model for the combined bending, stretching and shearing of shells: A general approach and application to laminated cylindrical shells derived from three-dimensional elasticity. (English) Zbl 1362.74023 Math. Mech. Solids 19, No. 5, 491-501 (2014). MSC: 74K25 74B05 74E30 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 19, No. 5, 491--501 (2014; Zbl 1362.74023) Full Text: DOI
Pruchnicki, Erick Two-dimensional model of order \(h^{5}\) for the combined bending, stretching, transverse shearing and transverse normal stress effect of homogeneous plates derived from three-dimensional elasticity. (English) Zbl 1358.74028 Math. Mech. Solids 19, No. 5, 477-490 (2014). MSC: 74K20 74B05 74G10 74G65 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 19, No. 5, 477--490 (2014; Zbl 1358.74028) Full Text: DOI
Pruchnicki, Erick One-dimensional model for the combined bending, stretching, shearing and torsion of rods derived from three-dimensional elasticity. (English) Zbl 07278869 Math. Mech. Solids 17, No. 4, 378-392 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 17, No. 4, 378--392 (2012; Zbl 07278869) Full Text: DOI
Pruchnicki, E. Derivation of a hierarchy of nonlinear two-dimensional models for heterogeneous plates. (English) Zbl 1269.74144 Math. Mech. Solids 16, No. 1, 77-108 (2011). MSC: 74K20 74E05 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 16, No. 1, 77--108 (2011; Zbl 1269.74144) Full Text: DOI
Pruchnicki, Erick Nonlinearly elastic membrane model for heterogeneous plates: a formal asymptotic approach by using a new double scale variational formulation. (English) Zbl 1211.74147 Int. J. Eng. Sci. 40, No. 19, 2183-2202 (2002). MSC: 74K20 74B20 74K15 74Q05 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Int. J. Eng. Sci. 40, No. 19, 2183--2202 (2002; Zbl 1211.74147) Full Text: DOI