Um problema muito semelhante, rodando no Debian Jessie com um libssl.so.1.0.0 de backport, Java 1.8.0_181 e Tomcat 8.5.4 rodando com SSL na porta 8443:
#
# A fatal error has been detected by the Java Runtime Environment:
#
# SIGSEGV (0xb) at pc=0x00007ff86bdd6e70, pid=16967, tid=0x00007ff7edb87700
#
# JRE version: Java(TM) SE Runtime Environment (8.0_181-b13) (build 1.8.0_181-b13)
# Java VM: Java HotSpot(TM) 64-Bit Server VM (25.181-b13 mixed mode linux-amd64 compressed oops)
# Problematic frame:
# C [libssl.so.1.0.0+0x40e70] SSL_get_current_cipher+0x0
#
Alguma idéia?